# Elliptic curves over number fields downloaded from the LMFDB on 12 April 2026.
# Search link: https://www.lmfdb.org/EllipticCurve/2.0.111.1/
# Query "{'field_label': '2.0.111.1'}" returned 2730 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"	"2.0.111.1"	[28, -1, 1]	1	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [-16, -3], [-31, 7]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a-16\\right){x}+7a-31"
"1.1-a2"	"1.1-a"	"2.0.111.1"	[28, -1, 1]	1	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [-1486, -563], [263, -14287]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-563a-1486\\right){x}-14287a+263"
"1.1-b1"	"1.1-b"	"2.0.111.1"	[28, -1, 1]	1	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [-19, 3], [-24, -7]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(3a-19\\right){x}-7a-24"
"1.1-b2"	"1.1-b"	"2.0.111.1"	[28, -1, 1]	1	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [-2049, 563], [-14024, 14287]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(563a-2049\\right){x}+14287a-14024"
"3.1-a1"	"3.1-a"	"2.0.111.1"	[28, -1, 1]	3	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-5, 2], [11, 15]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(2a-5\\right){x}+15a+11"
"3.1-a2"	"3.1-a"	"2.0.111.1"	[28, -1, 1]	3	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-110, -38], [-465, 291]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(-38a-110\\right){x}+291a-465"
"3.1-a3"	"3.1-a"	"2.0.111.1"	[28, -1, 1]	3	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [20, -3], [-17, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-3a+20\\right){x}+3a-17"
"3.1-a4"	"3.1-a"	"2.0.111.1"	[28, -1, 1]	3	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-10, -8], [141, -18]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-8a-10\\right){x}-18a+141"
"3.1-b1"	"3.1-b"	"2.0.111.1"	[28, -1, 1]	3	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-3, -2], [26, -15]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-2a-3\\right){x}-15a+26"
"3.1-b2"	"3.1-b"	"2.0.111.1"	[28, -1, 1]	3	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-148, 38], [-174, -291]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(38a-148\\right){x}-291a-174"
"3.1-b3"	"3.1-b"	"2.0.111.1"	[28, -1, 1]	3	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-18, 8], [123, 18]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(8a-18\\right){x}+18a+123"
"3.1-b4"	"3.1-b"	"2.0.111.1"	[28, -1, 1]	3	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [17, 3], [-14, -3]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(3a+17\\right){x}-3a-14"
"12.2-a1"	"12.2-a"	"2.0.111.1"	[28, -1, 1]	12	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-2262, -857], [24135, -43379]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-857a-2262\\right){x}-43379a+24135"
"12.2-a2"	"12.2-a"	"2.0.111.1"	[28, -1, 1]	12	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-57, -17], [27, 259]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-17a-57\\right){x}+259a+27"
"12.2-b1"	"12.2-b"	"2.0.111.1"	[28, -1, 1]	12	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-3120, 859], [-16124, 42521]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(859a-3120\\right){x}+42521a-16124"
"12.2-b2"	"12.2-b"	"2.0.111.1"	[28, -1, 1]	12	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-75, 19], [361, -277]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(19a-75\\right){x}-277a+361"
"14.2-a1"	"14.2-a"	"2.0.111.1"	[28, -1, 1]	14	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 0], [-22, -24], [193, 150]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-{x}^2+\\left(-24a-22\\right){x}+150a+193"
"14.2-a2"	"14.2-a"	"2.0.111.1"	[28, -1, 1]	14	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 0], [-1047, -49], [-4645, -10468]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-{x}^2+\\left(-49a-1047\\right){x}-10468a-4645"
"14.2-b1"	"14.2-b"	"2.0.111.1"	[28, -1, 1]	14	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [4, -3], [-52, -4]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a+4\\right){x}-4a-52"
"14.2-b2"	"14.2-b"	"2.0.111.1"	[28, -1, 1]	14	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-36, -33], [3276, -84]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-33a-36\\right){x}-84a+3276"
"14.3-a1"	"14.3-a"	"2.0.111.1"	[28, -1, 1]	14	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [1, 0], [-45, 23], [343, -150]]	"{y}^2+a{x}{y}+{y}={x}^3-a{x}^2+\\left(23a-45\\right){x}-150a+343"
"14.3-a2"	"14.3-a"	"2.0.111.1"	[28, -1, 1]	14	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [1, 0], [-1095, 48], [-15113, 10468]]	"{y}^2+a{x}{y}+{y}={x}^3-a{x}^2+\\left(48a-1095\\right){x}+10468a-15113"
"14.3-b1"	"14.3-b"	"2.0.111.1"	[28, -1, 1]	14	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [1, 3], [-56, 3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(3a+1\\right){x}+3a-56"
"14.3-b2"	"14.3-b"	"2.0.111.1"	[28, -1, 1]	14	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-69, 33], [3192, 83]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(33a-69\\right){x}+83a+3192"
"16.1-a1"	"16.1-a"	"2.0.111.1"	[28, -1, 1]	16	0	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 1], [-9, 1], [3, -1]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}-a+3"
"16.1-a2"	"16.1-a"	"2.0.111.1"	[28, -1, 1]	16	0	[]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 1], [0, 0], [4, -1]]	"{y}^2+a{y}={x}^3-a+4"
"16.5-a1"	"16.5-a"	"2.0.111.1"	[28, -1, 1]	16	0	[]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 1], [0, 0], [3, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3+3"
"16.5-a2"	"16.5-a"	"2.0.111.1"	[28, -1, 1]	16	0	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [1, 1], [-9, 1], [11, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}+11"
"20.3-a1"	"20.3-a"	"2.0.111.1"	[28, -1, 1]	20	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [206, 38], [-2412, 372]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(38a+206\\right){x}+372a-2412"
"20.3-a2"	"20.3-a"	"2.0.111.1"	[28, -1, 1]	20	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [-1744, -252], [13502, -4846]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-252a-1744\\right){x}-4846a+13502"
"20.3-a3"	"20.3-a"	"2.0.111.1"	[28, -1, 1]	20	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [3831, -962], [-168971, -2777]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-962a+3831\\right){x}-2777a-168971"
"20.3-b1"	"20.3-b"	"2.0.111.1"	[28, -1, 1]	20	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-295, 21], [2085, -285]]	"{y}^2+{x}{y}={x}^3+\\left(21a-295\\right){x}-285a+2085"
"20.3-b2"	"20.3-b"	"2.0.111.1"	[28, -1, 1]	20	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [2155, -189], [-10949, 4125]]	"{y}^2+{x}{y}={x}^3+\\left(-189a+2155\\right){x}+4125a-10949"
"20.3-b3"	"20.3-b"	"2.0.111.1"	[28, -1, 1]	20	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [2330, 1021], [180872, 2197]]	"{y}^2+{x}{y}={x}^3+\\left(1021a+2330\\right){x}+2197a+180872"
"20.4-a1"	"20.4-a"	"2.0.111.1"	[28, -1, 1]	20	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-274, -21], [1800, 285]]	"{y}^2+{x}{y}={x}^3+\\left(-21a-274\\right){x}+285a+1800"
"20.4-a2"	"20.4-a"	"2.0.111.1"	[28, -1, 1]	20	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [1966, 189], [-6824, -4125]]	"{y}^2+{x}{y}={x}^3+\\left(189a+1966\\right){x}-4125a-6824"
"20.4-a3"	"20.4-a"	"2.0.111.1"	[28, -1, 1]	20	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [3351, -1021], [183069, -2197]]	"{y}^2+{x}{y}={x}^3+\\left(-1021a+3351\\right){x}-2197a+183069"
"20.4-b1"	"20.4-b"	"2.0.111.1"	[28, -1, 1]	20	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [243, -37], [-2283, -335]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-37a+243\\right){x}-335a-2283"
"20.4-b2"	"20.4-b"	"2.0.111.1"	[28, -1, 1]	20	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [-1997, 253], [10653, 4593]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(253a-1997\\right){x}+4593a+10653"
"20.4-b3"	"20.4-b"	"2.0.111.1"	[28, -1, 1]	20	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [2868, 963], [-174616, 1814]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(963a+2868\\right){x}+1814a-174616"
"23.1-a1"	"23.1-a"	"2.0.111.1"	[28, -1, 1]	23	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-1, -1], [3, 0]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a-1\\right){x}+3"
"23.1-b1"	"23.1-b"	"2.0.111.1"	[28, -1, 1]	23	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [7, -10], [156, -7]]	"{y}^2+{y}={x}^3-{x}^2+\\left(-10a+7\\right){x}-7a+156"
"23.2-a1"	"23.2-a"	"2.0.111.1"	[28, -1, 1]	23	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-2, 1], [3, -1]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(a-2\\right){x}-a+3"
"23.2-b1"	"23.2-b"	"2.0.111.1"	[28, -1, 1]	23	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [-3, 10], [149, 7]]	"{y}^2+{y}={x}^3-{x}^2+\\left(10a-3\\right){x}+7a+149"
"24.2-a1"	"24.2-a"	"2.0.111.1"	[28, -1, 1]	24	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [52, -2], [-136, -4]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-2a+52\\right){x}-4a-136"
"24.2-a2"	"24.2-a"	"2.0.111.1"	[28, -1, 1]	24	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [3, -6], [24, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-6a+3\\right){x}-3a+24"
"24.2-b1"	"24.2-b"	"2.0.111.1"	[28, -1, 1]	24	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-11, -1], [-14, 2]]	"{y}^2={x}^3-a{x}^2+\\left(-a-11\\right){x}+2a-14"
"24.2-b2"	"24.2-b"	"2.0.111.1"	[28, -1, 1]	24	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [11, -6], [36, 4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-6a+11\\right){x}+4a+36"
"24.3-a1"	"24.3-a"	"2.0.111.1"	[28, -1, 1]	24	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [49, 2], [-91, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(2a+49\\right){x}+6a-91"
"24.3-a2"	"24.3-a"	"2.0.111.1"	[28, -1, 1]	24	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-3, 6], [21, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(6a-3\\right){x}+3a+21"
"24.3-b1"	"24.3-b"	"2.0.111.1"	[28, -1, 1]	24	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-12, 1], [-12, -2]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(a-12\\right){x}-2a-12"
"24.3-b2"	"24.3-b"	"2.0.111.1"	[28, -1, 1]	24	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-10, -7], [36, 0]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-7a-10\\right){x}+36"
"25.2-a1"	"25.2-a"	"2.0.111.1"	[28, -1, 1]	25	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-280, 75], [343, 664]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(75a-280\\right){x}+664a+343"
"25.2-a2"	"25.2-a"	"2.0.111.1"	[28, -1, 1]	25	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [90, -855], [-84910, 15406]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(-855a+90\\right){x}+15406a-84910"
"25.2-a3"	"25.2-a"	"2.0.111.1"	[28, -1, 1]	25	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [4280, -355], [55356, 14300]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(-355a+4280\\right){x}+14300a+55356"
"25.2-b1"	"25.2-b"	"2.0.111.1"	[28, -1, 1]	25	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-205, -75], [1007, -664]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-75a-205\\right){x}-664a+1007"
"25.2-b2"	"25.2-b"	"2.0.111.1"	[28, -1, 1]	25	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [3925, 355], [69656, -14300]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(355a+3925\\right){x}-14300a+69656"
"25.2-b3"	"25.2-b"	"2.0.111.1"	[28, -1, 1]	25	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-765, 855], [-69504, -15406]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(855a-765\\right){x}-15406a-69504"
"28.3-a1"	"28.3-a"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [-903, 261], [-8367, 4291]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(261a-903\\right){x}+4291a-8367"
"28.3-a2"	"28.3-a"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [112, -19], [733, 42]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-19a+112\\right){x}+42a+733"
"28.3-a3"	"28.3-a"	"2.0.111.1"	[28, -1, 1]	28	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [4672, -449], [-76411, -18252]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-449a+4672\\right){x}-18252a-76411"
"28.3-b1"	"28.3-b"	"2.0.111.1"	[28, -1, 1]	28	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-712, -252], [4694, -4436]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-252a-712\\right){x}-4436a+4694"
"28.3-b2"	"28.3-b"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [23, 28], [-500, -12]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(28a+23\\right){x}-12a-500"
"28.3-b3"	"28.3-b"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-537, 958], [86412, 18920]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(958a-537\\right){x}+18920a+86412"
"28.4-a1"	"28.4-a"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [-643, -260], [-3433, -4032]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-260a-643\\right){x}-4032a-3433"
"28.4-a2"	"28.4-a"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [92, 20], [683, -63]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(20a+92\\right){x}-63a+683"
"28.4-a3"	"28.4-a"	"2.0.111.1"	[28, -1, 1]	28	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [4222, 450], [-98885, 17801]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(450a+4222\\right){x}+17801a-98885"
"28.4-b1"	"28.4-b"	"2.0.111.1"	[28, -1, 1]	28	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-964, 252], [258, 4436]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(252a-964\\right){x}+4436a+258"
"28.4-b2"	"28.4-b"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [51, -28], [-512, 12]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-28a+51\\right){x}+12a-512"
"28.4-b3"	"28.4-b"	"2.0.111.1"	[28, -1, 1]	28	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [421, -958], [105332, -18920]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-958a+421\\right){x}-18920a+105332"
"30.2-a1"	"30.2-a"	"2.0.111.1"	[28, -1, 1]	30	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [-103, -10], [815, 102]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+\\left(-10a-103\\right){x}+102a+815"
"30.2-a2"	"30.2-a"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [27, 0], [1, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+27{x}-a+1"
"30.2-a3"	"30.2-a"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [32, 5], [44, -9]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+\\left(5a+32\\right){x}-9a+44"
"30.2-b1"	"30.2-b"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [-1175, -95], [-11428, -1971]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-95a-1175\\right){x}-1971a-11428"
"30.2-b2"	"30.2-b"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [-5, -5], [20, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-5a-5\\right){x}+20"
"30.2-b3"	"30.2-b"	"2.0.111.1"	[28, -1, 1]	30	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [40, 40], [-1546, -189]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(40a+40\\right){x}-189a-1546"
"30.3-a1"	"30.3-a"	"2.0.111.1"	[28, -1, 1]	30	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [-112, 8], [917, -103]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(8a-112\\right){x}-103a+917"
"30.3-a2"	"30.3-a"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [28, -2], [0, 0]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-2a+28\\right){x}"
"30.3-a3"	"30.3-a"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [38, -7], [35, 8]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-7a+38\\right){x}+8a+35"
"30.3-b1"	"30.3-b"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [-1269, 94], [-13399, 1971]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(94a-1269\\right){x}+1971a-13399"
"30.3-b2"	"30.3-b"	"2.0.111.1"	[28, -1, 1]	30	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [-9, 4], [20, 0]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a-9\\right){x}+20"
"30.3-b3"	"30.3-b"	"2.0.111.1"	[28, -1, 1]	30	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [81, -41], [-1735, 189]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-41a+81\\right){x}+189a-1735"
"32.2-a1"	"32.2-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [276, 61], [3800, 439]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(61a+276\\right){x}+439a+3800"
"32.2-a2"	"32.2-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-72, 6], [428, -66]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a-72\\right){x}-66a+428"
"32.2-a3"	"32.2-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-1444, 471], [2640, 9341]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(471a-1444\\right){x}+9341a+2640"
"32.2-a4"	"32.2-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-4, -9], [48, -11]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-9a-4\\right){x}-11a+48"
"32.2-b1"	"32.2-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-408, 14], [-3632, -620]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(14a-408\\right){x}-620a-3632"
"32.2-b2"	"32.2-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [12, -1], [-4, 3]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-a+12\\right){x}+3a-4"
"32.2-b3"	"32.2-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [2812, -21], [-5212, -10427]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-21a+2812\\right){x}-10427a-5212"
"32.2-b4"	"32.2-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-328, -62], [1920, 980]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-62a-328\\right){x}+980a+1920"
"32.5-a1"	"32.5-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-66, -6], [362, 66]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-6a-66\\right){x}+66a+362"
"32.5-a2"	"32.5-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [337, -63], [4239, -440]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-63a+337\\right){x}-440a+4239"
"32.5-a3"	"32.5-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-13, 7], [37, 10]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(7a-13\\right){x}+10a+37"
"32.5-a4"	"32.5-a"	"2.0.111.1"	[28, -1, 1]	32	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-973, -473], [11981, -9342]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-473a-973\\right){x}-9342a+11981"
"32.5-b1"	"32.5-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [11, 1], [-1, -3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a+11\\right){x}-3a-1"
"32.5-b2"	"32.5-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-394, -14], [-4252, 620]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-14a-394\\right){x}+620a-4252"
"32.5-b3"	"32.5-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-390, 60], [2900, -981]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(60a-390\\right){x}-981a+2900"
"32.5-b4"	"32.5-b"	"2.0.111.1"	[28, -1, 1]	32	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [2791, 21], [-15639, 10427]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(21a+2791\\right){x}+10427a-15639"
"36.1-a1"	"36.1-a"	"2.0.111.1"	[28, -1, 1]	36	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 1], [0, 0], [-196, -49]]	"{y}^2+a{y}={x}^3-49a-196"
"36.1-a2"	"36.1-a"	"2.0.111.1"	[28, -1, 1]	36	1	[3]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 1], [0, 0], [200, 50]]	"{y}^2+a{y}={x}^3+50a+200"
"36.2-a1"	"36.2-a"	"2.0.111.1"	[28, -1, 1]	36	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-102, -23], [-674, 239]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-23a-102\\right){x}+239a-674"
"36.2-a2"	"36.2-a"	"2.0.111.1"	[28, -1, 1]	36	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [30, 0], [-120, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+30{x}+3a-120"
"36.2-a3"	"36.2-a"	"2.0.111.1"	[28, -1, 1]	36	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-72, -24], [-48, 240]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-24a-72\\right){x}+240a-48"
"36.2-a4"	"36.2-a"	"2.0.111.1"	[28, -1, 1]	36	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-1047, -23], [13249, 428]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-23a-1047\\right){x}+428a+13249"
"36.2-b1"	"36.2-b"	"2.0.111.1"	[28, -1, 1]	36	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [32, -2], [-116, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a+32\\right){x}-4a-116"
"36.2-b2"	"36.2-b"	"2.0.111.1"	[28, -1, 1]	36	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-125, 22], [-435, -240]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(22a-125\\right){x}-240a-435"
"36.2-b3"	"36.2-b"	"2.0.111.1"	[28, -1, 1]	36	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-1070, 22], [13677, -429]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(22a-1070\\right){x}-429a+13677"
"36.2-b4"	"36.2-b"	"2.0.111.1"	[28, -1, 1]	36	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-96, 24], [192, -240]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(24a-96\\right){x}-240a+192"
"36.3-a1"	"36.3-a"	"2.0.111.1"	[28, -1, 1]	36	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 1], [0, 0], [-245, 48]]	"{y}^2+\\left(a+1\\right){y}={x}^3+48a-245"
"36.3-a2"	"36.3-a"	"2.0.111.1"	[28, -1, 1]	36	1	[3]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 1], [0, 0], [250, -51]]	"{y}^2+\\left(a+1\\right){y}={x}^3-51a+250"
"37.1-a1"	"37.1-a"	"2.0.111.1"	[28, -1, 1]	37	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-23, 0], [-50, 0]]	"{y}^2+{y}={x}^3+{x}^2-23{x}-50"
"37.1-a2"	"37.1-a"	"2.0.111.1"	[28, -1, 1]	37	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-3, 0], [1, 0]]	"{y}^2+{y}={x}^3+{x}^2-3{x}+1"
"37.1-a3"	"37.1-a"	"2.0.111.1"	[28, -1, 1]	37	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-1873, 0], [-31833, 0]]	"{y}^2+{y}={x}^3+{x}^2-1873{x}-31833"
"37.1-b1"	"37.1-b"	"2.0.111.1"	[28, -1, 1]	37	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-210, 0], [1134, 0]]	"{y}^2+{y}={x}^3-210{x}+1134"
"37.1-b2"	"37.1-b"	"2.0.111.1"	[28, -1, 1]	37	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-30, 0], [-63, 0]]	"{y}^2+{y}={x}^3-30{x}-63"
"37.1-b3"	"37.1-b"	"2.0.111.1"	[28, -1, 1]	37	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-16860, 0], [842625, 0]]	"{y}^2+{y}={x}^3-16860{x}+842625"
"37.1-c1"	"37.1-c"	"2.0.111.1"	[28, -1, 1]	37	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-9, 0], [-7, 0]]	"{y}^2+{y}={x}^3-9{x}-7"
"37.1-d1"	"37.1-d"	"2.0.111.1"	[28, -1, 1]	37	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-1, 0], [0, 0]]	"{y}^2+{y}={x}^3-{x}"
"48.2-a1"	"48.2-a"	"2.0.111.1"	[28, -1, 1]	48	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-39, 3], [-30, 18]]	"{y}^2={x}^3-a{x}^2+\\left(3a-39\\right){x}+18a-30"
"48.2-b1"	"48.2-b"	"2.0.111.1"	[28, -1, 1]	48	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-116, -19], [-264, -68]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-19a-116\\right){x}-68a-264"
"48.4-a1"	"48.4-a"	"2.0.111.1"	[28, -1, 1]	48	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-163, 20], [-495, 87]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(20a-163\\right){x}+87a-495"
"48.4-b1"	"48.4-b"	"2.0.111.1"	[28, -1, 1]	48	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-36, -3], [-12, -18]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-36\\right){x}-18a-12"
"49.2-a1"	"49.2-a"	"2.0.111.1"	[28, -1, 1]	49	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-48, 11], [59, 80]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(11a-48\\right){x}+80a+59"
"49.2-a2"	"49.2-a"	"2.0.111.1"	[28, -1, 1]	49	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [2192, 221], [-34192, 6548]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(221a+2192\\right){x}+6548a-34192"
"49.2-a3"	"49.2-a"	"2.0.111.1"	[28, -1, 1]	49	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-1998, -279], [24790, 8326]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(-279a-1998\\right){x}+8326a+24790"
"49.2-b1"	"49.2-b"	"2.0.111.1"	[28, -1, 1]	49	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-37, -11], [139, -80]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-11a-37\\right){x}-80a+139"
"49.2-b2"	"49.2-b"	"2.0.111.1"	[28, -1, 1]	49	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-2277, 279], [33116, -8326]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(279a-2277\\right){x}-8326a+33116"
"49.2-b3"	"49.2-b"	"2.0.111.1"	[28, -1, 1]	49	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [2413, -221], [-27644, -6548]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-221a+2413\\right){x}-6548a-27644"
"64.3-a1"	"64.3-a"	"2.0.111.1"	[28, -1, 1]	64	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [-125, -27]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}-27a-125"
"64.3-a2"	"64.3-a"	"2.0.111.1"	[28, -1, 1]	64	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [-13, 1]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}+a-13"
"64.3-b1"	"64.3-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [62, -1]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}-a+62"
"64.3-b2"	"64.3-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [-70, -1]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}-a-70"
"64.3-b3"	"64.3-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-12	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [136, -39], [-1032, 16]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-39a+136\\right){x}+16a-1032"
"64.3-b4"	"64.3-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-12	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [96, 41], [1112, 56]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(41a+96\\right){x}+56a+1112"
"64.5-a1"	"64.5-a"	"2.0.111.1"	[28, -1, 1]	64	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [-3, -1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}-a-3"
"64.5-a2"	"64.5-a"	"2.0.111.1"	[28, -1, 1]	64	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [-143, 27]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}+27a-143"
"64.5-b1"	"64.5-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [-62, 1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}+a-62"
"64.5-b2"	"64.5-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [70, 1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}+a+70"
"64.5-b3"	"64.5-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-12	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [136, -39], [1032, -16]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-39a+136\\right){x}-16a+1032"
"64.5-b4"	"64.5-b"	"2.0.111.1"	[28, -1, 1]	64	1	[2]	-12	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [96, 41], [-1112, -56]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(41a+96\\right){x}-56a-1112"
"68.3-a1"	"68.3-a"	"2.0.111.1"	[28, -1, 1]	68	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-3137, -48], [66121, 2676]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-48a-3137\\right){x}+2676a+66121"
"68.3-a2"	"68.3-a"	"2.0.111.1"	[28, -1, 1]	68	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [48, 22], [804, -26]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(22a+48\\right){x}-26a+804"
"68.3-b1"	"68.3-b"	"2.0.111.1"	[28, -1, 1]	68	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [1005, 548], [-71627, -1692]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(548a+1005\\right){x}-1692a-71627"
"68.3-b2"	"68.3-b"	"2.0.111.1"	[28, -1, 1]	68	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [70, -22], [-408, 22]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-22a+70\\right){x}+22a-408"
"68.4-a1"	"68.4-a"	"2.0.111.1"	[28, -1, 1]	68	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [70, -22], [778, 26]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-22a+70\\right){x}+26a+778"
"68.4-a2"	"68.4-a"	"2.0.111.1"	[28, -1, 1]	68	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-3185, 48], [68797, -2676]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(48a-3185\\right){x}-2676a+68797"
"68.4-b1"	"68.4-b"	"2.0.111.1"	[28, -1, 1]	68	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [48, 22], [-386, -22]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(22a+48\\right){x}-22a-386"
"68.4-b2"	"68.4-b"	"2.0.111.1"	[28, -1, 1]	68	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [1553, -548], [-73319, 1692]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-548a+1553\\right){x}+1692a-73319"
"75.2-a1"	"75.2-a"	"2.0.111.1"	[28, -1, 1]	75	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [68, -21], [200, 14]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(-21a+68\\right){x}+14a+200"
"75.2-b1"	"75.2-b"	"2.0.111.1"	[28, -1, 1]	75	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [47, 21], [214, -14]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(21a+47\\right){x}-14a+214"
"75.2-c1"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-990, 0], [22765, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-990{x}+22765"
"75.2-c2"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [0, 0], [-5, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-5"
"75.2-c3"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [315, 0], [1066, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+315{x}+1066"
"75.2-c4"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-90, 0], [175, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-90{x}+175"
"75.2-c5"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-45, 0], [-104, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-45{x}-104"
"75.2-c6"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-1215, 0], [16600, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-1215{x}+16600"
"75.2-c7"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-720, 0], [-7259, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-720{x}-7259"
"75.2-c8"	"75.2-c"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-19440, 0], [1048135, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-19440{x}+1048135"
"75.2-d1"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-110, 0], [-880, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-110{x}-880"
"75.2-d2"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [0, 0], [0, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2"
"75.2-d3"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[8]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [35, 0], [-28, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+35{x}-28"
"75.2-d4"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-10, 0], [-10, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-10{x}-10"
"75.2-d5"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-5, 0], [2, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-5{x}+2"
"75.2-d6"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-135, 0], [-660, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-135{x}-660"
"75.2-d7"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-80, 0], [242, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-80{x}+242"
"75.2-d8"	"75.2-d"	"2.0.111.1"	[28, -1, 1]	75	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-2160, 0], [-39540, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-2160{x}-39540"
"80.1-a1"	"80.1-a"	"2.0.111.1"	[28, -1, 1]	80	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-41, 6], [19, 4]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a-41\\right){x}+4a+19"
"80.1-b1"	"80.1-b"	"2.0.111.1"	[28, -1, 1]	80	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [-16, 0], [12, -4]]	"{y}^2+a{y}={x}^3+a{x}^2-16{x}-4a+12"
"80.10-a1"	"80.10-a"	"2.0.111.1"	[28, -1, 1]	80	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-35, -6], [23, -5]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-6a-35\\right){x}-5a+23"
"80.10-b1"	"80.10-b"	"2.0.111.1"	[28, -1, 1]	80	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [-16, 0], [8, 3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2-16{x}+3a+8"
"80.3-a1"	"80.3-a"	"2.0.111.1"	[28, -1, 1]	80	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [0, 0], [-32, 0]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2-32"
"80.3-b1"	"80.3-b"	"2.0.111.1"	[28, -1, 1]	80	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [20, -7], [32, 6]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-7a+20\\right){x}+6a+32"
"80.8-a1"	"80.8-a"	"2.0.111.1"	[28, -1, 1]	80	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [0, 0], [-32, 0]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-32"
"80.8-b1"	"80.8-b"	"2.0.111.1"	[28, -1, 1]	80	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-1, -8], [52, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-8a-1\\right){x}-a+52"
"81.1-a1"	"81.1-a"	"2.0.111.1"	[28, -1, 1]	81	0	[3]	-27	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 0], [-30, 0], [63, 0]]	"{y}^2+{y}={x}^3-30{x}+63"
"81.1-a2"	"81.1-a"	"2.0.111.1"	[28, -1, 1]	81	0	[]	-27	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 0], [-270, 0], [-1708, 0]]	"{y}^2+{y}={x}^3-270{x}-1708"
"81.1-a3"	"81.1-a"	"2.0.111.1"	[28, -1, 1]	81	0	[3]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 0], [0, 0], [-7, 0]]	"{y}^2+{y}={x}^3-7"
"81.1-a4"	"81.1-a"	"2.0.111.1"	[28, -1, 1]	81	0	[3]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 0], [0, 0], [0, 0]]	"{y}^2+{y}={x}^3"
"81.1-b1"	"81.1-b"	"2.0.111.1"	[28, -1, 1]	81	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [12, 4], [-1, 11]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(4a+12\\right){x}+11a-1"
"81.1-c1"	"81.1-c"	"2.0.111.1"	[28, -1, 1]	81	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [16, -5], [10, -12]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a+16\\right){x}-12a+10"
"81.1-d1"	"81.1-d"	"2.0.111.1"	[28, -1, 1]	81	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [1, -2], [1, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-2a+1\\right){x}+1"
"81.1-e1"	"81.1-e"	"2.0.111.1"	[28, -1, 1]	81	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [23, -4], [8, 2]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-4a+23\\right){x}+2a+8"
"81.1-f1"	"81.1-f"	"2.0.111.1"	[28, -1, 1]	81	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [0, 1], [1, 0]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+a{x}+1"
"81.1-g1"	"81.1-g"	"2.0.111.1"	[28, -1, 1]	81	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [20, 2], [10, -3]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a+20\\right){x}-3a+10"
"96.3-a1"	"96.3-a"	"2.0.111.1"	[28, -1, 1]	96	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-9, 1], [-7, 0]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(a-9\\right){x}-7"
"96.3-a2"	"96.3-a"	"2.0.111.1"	[28, -1, 1]	96	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [17, 23], [478, 46]]	"{y}^2={x}^3+{x}^2+\\left(23a+17\\right){x}+46a+478"
"96.3-b1"	"96.3-b"	"2.0.111.1"	[28, -1, 1]	96	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [40, 3], [96, -12]]	"{y}^2={x}^3+{x}^2+\\left(3a+40\\right){x}-12a+96"
"96.3-b2"	"96.3-b"	"2.0.111.1"	[28, -1, 1]	96	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-126, -6], [-539, 7]]	"{y}^2={x}^3-a{x}^2+\\left(-6a-126\\right){x}+7a-539"
"96.4-a1"	"96.4-a"	"2.0.111.1"	[28, -1, 1]	96	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [40, -23], [524, -46]]	"{y}^2={x}^3+{x}^2+\\left(-23a+40\\right){x}-46a+524"
"96.4-a2"	"96.4-a"	"2.0.111.1"	[28, -1, 1]	96	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-8, -1], [-7, 0]]	"{y}^2={x}^3-a{x}^2+\\left(-a-8\\right){x}-7"
"96.4-b1"	"96.4-b"	"2.0.111.1"	[28, -1, 1]	96	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-132, 6], [-532, -7]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(6a-132\\right){x}-7a-532"
"96.4-b2"	"96.4-b"	"2.0.111.1"	[28, -1, 1]	96	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [43, -3], [84, 12]]	"{y}^2={x}^3+{x}^2+\\left(-3a+43\\right){x}+12a+84"
"98.2-a1"	"98.2-a"	"2.0.111.1"	[28, -1, 1]	98	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-10, -1], [4, 1]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a-10\\right){x}+a+4"
"98.2-a2"	"98.2-a"	"2.0.111.1"	[28, -1, 1]	98	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [9, -5], [2, 5]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-5a+9\\right){x}+5a+2"
"98.2-a3"	"98.2-a"	"2.0.111.1"	[28, -1, 1]	98	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [105, 9], [497, -122]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(9a+105\\right){x}-122a+497"
"98.2-a4"	"98.2-a"	"2.0.111.1"	[28, -1, 1]	98	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [109, 0], [-82, -44]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+109{x}-44a-82"
"98.2-b1"	"98.2-b"	"2.0.111.1"	[28, -1, 1]	98	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-11, 0], [-5, 3]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-11{x}+3a-5"
"98.2-b2"	"98.2-b"	"2.0.111.1"	[28, -1, 1]	98	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [24, -8], [-135, -18]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-8a+24\\right){x}-18a-135"
"98.2-b3"	"98.2-b"	"2.0.111.1"	[28, -1, 1]	98	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-120, 14], [-239, 126]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(14a-120\\right){x}+126a-239"
"98.2-b4"	"98.2-b"	"2.0.111.1"	[28, -1, 1]	98	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [504, -103], [-7523, -561]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-103a+504\\right){x}-561a-7523"
"98.2-c1"	"98.2-c"	"2.0.111.1"	[28, -1, 1]	98	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [-32, 40], [-1689, -319]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(40a-32\\right){x}-319a-1689"
"98.2-c2"	"98.2-c"	"2.0.111.1"	[28, -1, 1]	98	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [3, -5], [5, 2]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a+3\\right){x}+2a+5"
"98.2-c3"	"98.2-c"	"2.0.111.1"	[28, -1, 1]	98	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [983, 275], [24113, -1097]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(275a+983\\right){x}-1097a+24113"
"98.2-d1"	"98.2-d"	"2.0.111.1"	[28, -1, 1]	98	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [-197, 433], [24584, 4809]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(433a-197\\right){x}+4809a+24584"
"98.2-d2"	"98.2-d"	"2.0.111.1"	[28, -1, 1]	98	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [118, 28], [-1624, 12]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(28a+118\\right){x}+12a-1624"
"98.2-d3"	"98.2-d"	"2.0.111.1"	[28, -1, 1]	98	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [8938, 2548], [-881860, 27165]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(2548a+8938\\right){x}+27165a-881860"
"98.5-a1"	"98.5-a"	"2.0.111.1"	[28, -1, 1]	98	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [37, -54], [-678, 301]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-54a+37\\right){x}+301a-678"
"98.5-a2"	"98.5-a"	"2.0.111.1"	[28, -1, 1]	98	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [27, -9], [77, 15]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-9a+27\\right){x}+15a+77"
"98.5-a3"	"98.5-a"	"2.0.111.1"	[28, -1, 1]	98	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [1287, -289], [30926, 2094]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-289a+1287\\right){x}+2094a+30926"
"98.5-b1"	"98.5-b"	"2.0.111.1"	[28, -1, 1]	98	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [237, -434], [29393, -4809]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-434a+237\\right){x}-4809a+29393"
"98.5-b2"	"98.5-b"	"2.0.111.1"	[28, -1, 1]	98	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [147, -29], [-1612, -12]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-29a+147\\right){x}-12a-1612"
"98.5-b3"	"98.5-b"	"2.0.111.1"	[28, -1, 1]	98	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [11487, -2549], [-854695, -27165]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2549a+11487\\right){x}-27165a-854695"
"98.5-c1"	"98.5-c"	"2.0.111.1"	[28, -1, 1]	98	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-11, 0], [5, -2]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2-11{x}-2a+5"
"98.5-c2"	"98.5-c"	"2.0.111.1"	[28, -1, 1]	98	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-10, -6], [35, 5]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-6a-10\\right){x}+5a+35"
"98.5-c3"	"98.5-c"	"2.0.111.1"	[28, -1, 1]	98	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [114, -10], [375, 121]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-10a+114\\right){x}+121a+375"
"98.5-c4"	"98.5-c"	"2.0.111.1"	[28, -1, 1]	98	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [95, -11], [42, 154]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-11a+95\\right){x}+154a+42"
"98.5-d1"	"98.5-d"	"2.0.111.1"	[28, -1, 1]	98	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-11, 0], [-2, -3]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-11{x}-3a-2"
"98.5-d2"	"98.5-d"	"2.0.111.1"	[28, -1, 1]	98	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [17, 7], [-152, 17]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(7a+17\\right){x}+17a-152"
"98.5-d3"	"98.5-d"	"2.0.111.1"	[28, -1, 1]	98	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-105, -15], [-112, -127]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-15a-105\\right){x}-127a-112"
"98.5-d4"	"98.5-d"	"2.0.111.1"	[28, -1, 1]	98	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [402, 102], [-8083, 560]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(102a+402\\right){x}+560a-8083"
"100.4-a1"	"100.4-a"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [2515, -67], [11596, 6715]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(-67a+2515\\right){x}+6715a+11596"
"100.4-a2"	"100.4-a"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-250, 23], [-1102, 277]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(23a-250\\right){x}+277a-1102"
"100.4-b1"	"100.4-b"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-1323, -383], [-6641, -8111]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-383a-1323\\right){x}-8111a-6641"
"100.4-b2"	"100.4-b"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [192, 27], [1025, -125]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(27a+192\\right){x}-125a+1025"
"100.4-c1"	"100.4-c"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [13, -4], [-11, 7]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-4a+13\\right){x}+7a-11"
"100.4-d1"	"100.4-d"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-25, 37], [257, 156]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(37a-25\\right){x}+156a+257"
"100.5-a1"	"100.5-a"	"2.0.111.1"	[28, -1, 1]	100	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-1143, -436], [7251, -17006]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-436a-1143\\right){x}-17006a+7251"
"100.5-a2"	"100.5-a"	"2.0.111.1"	[28, -1, 1]	100	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-1353, -516], [5613, -12828]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-516a-1353\\right){x}-12828a+5613"
"100.5-b1"	"100.5-b"	"2.0.111.1"	[28, -1, 1]	100	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-1579, 435], [-9755, 17005]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(435a-1579\\right){x}+17005a-9755"
"100.5-b2"	"100.5-b"	"2.0.111.1"	[28, -1, 1]	100	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-1869, 515], [-7215, 12827]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(515a-1869\\right){x}+12827a-7215"
"100.5-c1"	"100.5-c"	"2.0.111.1"	[28, -1, 1]	100	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-1259, -480], [-4413, 11764]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-480a-1259\\right){x}+11764a-4413"
"100.5-d1"	"100.5-d"	"2.0.111.1"	[28, -1, 1]	100	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-1738, 479], [7352, -11765]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(479a-1738\\right){x}-11765a+7352"
"100.6-a1"	"100.6-a"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [36, -9], [16, 29]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-9a+36\\right){x}+29a+16"
"100.6-b1"	"100.6-b"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [12, -38], [413, -157]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-38a+12\\right){x}-157a+413"
"100.6-c1"	"100.6-c"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [2448, 67], [18311, -6715]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(67a+2448\\right){x}-6715a+18311"
"100.6-c2"	"100.6-c"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-227, -23], [-825, -277]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-23a-227\\right){x}-277a-825"
"100.6-d1"	"100.6-d"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-1706, 383], [-14752, 8111]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(383a-1706\\right){x}+8111a-14752"
"100.6-d2"	"100.6-d"	"2.0.111.1"	[28, -1, 1]	100	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [219, -27], [900, 125]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(-27a+219\\right){x}+125a+900"
"105.2-a1"	"105.2-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [7146, 1526], [-455554, 36131]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(1526a+7146\\right){x}+36131a-455554"
"105.2-a2"	"105.2-a"	"2.0.111.1"	[28, -1, 1]	105	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [82, 10], [-270, 33]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(10a+82\\right){x}+33a-270"
"105.2-a3"	"105.2-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [-1324, 586], [5578, 14461]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(586a-1324\\right){x}+14461a+5578"
"105.2-a4"	"105.2-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [391, 96], [-8142, 888]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(96a+391\\right){x}+888a-8142"
"105.2-a5"	"105.2-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [76, -24], [-624, -21]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-24a+76\\right){x}-21a-624"
"105.2-a6"	"105.2-a"	"2.0.111.1"	[28, -1, 1]	105	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [65, -10], [72, 39]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-10a+65\\right){x}+39a+72"
"105.2-b1"	"105.2-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [4272, -2050], [428475, -29932]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-2050a+4272\\right){x}-29932a+428475"
"105.2-b2"	"105.2-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [28, 7], [12, -19]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(7a+28\\right){x}-19a+12"
"105.2-b3"	"105.2-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [3242, -110], [-10647, -15598]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-110a+3242\\right){x}-15598a-10647"
"105.2-b4"	"105.2-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [277, -120], [6336, -661]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-120a+277\\right){x}-661a+6336"
"105.2-b5"	"105.2-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [-158, 0], [927, 86]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2-158{x}+86a+927"
"105.2-b6"	"105.2-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [267, 30], [-1856, 437]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(30a+267\\right){x}+437a-1856"
"105.3-a1"	"105.3-a"	"2.0.111.1"	[28, -1, 1]	105	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [92, -9], [-144, -44]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-9a+92\\right){x}-44a-144"
"105.3-a2"	"105.3-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [-739, -585], [20778, -13877]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-585a-739\\right){x}-13877a+20778"
"105.3-a3"	"105.3-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [486, -95], [-7740, -794]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-95a+486\\right){x}-794a-7740"
"105.3-a4"	"105.3-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [51, 25], [-696, -5]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(25a+51\\right){x}-5a-696"
"105.3-a5"	"105.3-a"	"2.0.111.1"	[28, -1, 1]	105	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [8671, -1525], [-428094, -34607]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1525a+8671\\right){x}-34607a-428094"
"105.3-a6"	"105.3-a"	"2.0.111.1"	[28, -1, 1]	105	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [56, 10], [56, -49]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(10a+56\\right){x}-49a+56"
"105.3-b1"	"105.3-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [7, -6], [0, 12]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-6a+7\\right){x}+12a"
"105.3-b2"	"105.3-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [3132, 111], [-23113, 15708]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(111a+3132\\right){x}+15708a-23113"
"105.3-b3"	"105.3-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [157, 121], [5832, 781]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(121a+157\\right){x}+781a+5832"
"105.3-b4"	"105.3-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [-158, 1], [855, -86]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-158\\right){x}-86a+855"
"105.3-b5"	"105.3-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [2222, 2051], [400765, 31982]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(2051a+2222\\right){x}+31982a+400765"
"105.3-b6"	"105.3-b"	"2.0.111.1"	[28, -1, 1]	105	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [296, -29], [-1715, -408]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-29a+296\\right){x}-408a-1715"
"120.1-a1"	"120.1-a"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [4, 29], [192, 112]]	"{y}^2+a{x}{y}={x}^3+\\left(29a+4\\right){x}+112a+192"
"120.1-a2"	"120.1-a"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-864, -424], [-4016, -7751]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-424a-864\\right){x}-7751a-4016"
"120.1-b1"	"120.1-b"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [888, 84], [13124, -1709]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(84a+888\\right){x}-1709a+13124"
"120.1-b2"	"120.1-b"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [2504, 18], [-120, 10159]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(18a+2504\\right){x}+10159a-120"
"120.8-a1"	"120.8-a"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [33, -29], [304, -112]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-29a+33\\right){x}-112a+304"
"120.8-a2"	"120.8-a"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-1289, 424], [-13056, 8175]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(424a-1289\\right){x}+8175a-13056"
"120.8-b1"	"120.8-b"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [944, -83], [12359, 1625]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-83a+944\\right){x}+1625a+12359"
"120.8-b2"	"120.8-b"	"2.0.111.1"	[28, -1, 1]	120	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [2507, -31], [8190, -7638]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-31a+2507\\right){x}-7638a+8190"
"121.1-a1"	"121.1-a"	"2.0.111.1"	[28, -1, 1]	121	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [-7820, 0], [-263580, 0]]	"{y}^2+{y}={x}^3-{x}^2-7820{x}-263580"
"121.1-a2"	"121.1-a"	"2.0.111.1"	[28, -1, 1]	121	0	[5]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [-10, 0], [-20, 0]]	"{y}^2+{y}={x}^3-{x}^2-10{x}-20"
"121.1-a3"	"121.1-a"	"2.0.111.1"	[28, -1, 1]	121	0	[5]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [0, 0], [0, 0]]	"{y}^2+{y}={x}^3-{x}^2"
"121.1-b1"	"121.1-b"	"2.0.111.1"	[28, -1, 1]	121	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-70383, 0], [7187035, 0]]	"{y}^2+{y}={x}^3-70383{x}+7187035"
"121.1-b2"	"121.1-b"	"2.0.111.1"	[28, -1, 1]	121	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-93, 0], [625, 0]]	"{y}^2+{y}={x}^3-93{x}+625"
"121.1-b3"	"121.1-b"	"2.0.111.1"	[28, -1, 1]	121	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-3, 0], [-5, 0]]	"{y}^2+{y}={x}^3-3{x}-5"
"126.2-a1"	"126.2-a"	"2.0.111.1"	[28, -1, 1]	126	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-261, 72], [-323, 663]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(72a-261\\right){x}+663a-323"
"126.2-a2"	"126.2-a"	"2.0.111.1"	[28, -1, 1]	126	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [21, -3], [22, -3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-3a+21\\right){x}-3a+22"
"126.2-b1"	"126.2-b"	"2.0.111.1"	[28, -1, 1]	126	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [439, 3], [405, -681]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(3a+439\\right){x}-681a+405"
"126.2-b2"	"126.2-b"	"2.0.111.1"	[28, -1, 1]	126	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-56, 3], [51, 63]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(3a-56\\right){x}+63a+51"
"126.3-a1"	"126.3-a"	"2.0.111.1"	[28, -1, 1]	126	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [442, -3], [-276, 681]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-3a+442\\right){x}+681a-276"
"126.3-a2"	"126.3-a"	"2.0.111.1"	[28, -1, 1]	126	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-53, -3], [114, -63]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-3a-53\\right){x}-63a+114"
"126.3-b1"	"126.3-b"	"2.0.111.1"	[28, -1, 1]	126	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-189, -72], [340, -663]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-72a-189\\right){x}-663a+340"
"126.3-b2"	"126.3-b"	"2.0.111.1"	[28, -1, 1]	126	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [20, 1], [20, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+20\\right){x}+2a+20"
"127.1-a1"	"127.1-a"	"2.0.111.1"	[28, -1, 1]	127	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [-7, -4], [122, -4]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-4a-7\\right){x}-4a+122"
"127.1-b1"	"127.1-b"	"2.0.111.1"	[28, -1, 1]	127	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 1], [21, 0], [6, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+21{x}-a+6"
"127.2-a1"	"127.2-a"	"2.0.111.1"	[28, -1, 1]	127	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [-10, 2], [118, 3]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a-10\\right){x}+3a+118"
"127.2-b1"	"127.2-b"	"2.0.111.1"	[28, -1, 1]	127	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [1, 1], [22, -2], [5, 0]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-2a+22\\right){x}+5"
"128.2-a1"	"128.2-a"	"2.0.111.1"	[28, -1, 1]	128	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [8, 1], [8, -2]]	"{y}^2={x}^3+\\left(a+8\\right){x}-2a+8"
"128.2-b1"	"128.2-b"	"2.0.111.1"	[28, -1, 1]	128	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-5, 15], [251, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(15a-5\\right){x}-3a+251"
"128.7-a1"	"128.7-a"	"2.0.111.1"	[28, -1, 1]	128	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [9, -1], [6, 2]]	"{y}^2={x}^3+\\left(-a+9\\right){x}+2a+6"
"128.7-b1"	"128.7-b"	"2.0.111.1"	[28, -1, 1]	128	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [10, -15], [248, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-15a+10\\right){x}+3a+248"
"138.1-a1"	"138.1-a"	"2.0.111.1"	[28, -1, 1]	138	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [22, -5], [20, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-5a+22\\right){x}+20"
"138.1-b1"	"138.1-b"	"2.0.111.1"	[28, -1, 1]	138	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [30, 0], [-8, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+30{x}-a-8"
"138.4-a1"	"138.4-a"	"2.0.111.1"	[28, -1, 1]	138	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [18, 4], [20, 0]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+18\\right){x}+20"
"138.4-b1"	"138.4-b"	"2.0.111.1"	[28, -1, 1]	138	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [31, -2], [-9, 0]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-2a+31\\right){x}-9"
"140.5-a1"	"140.5-a"	"2.0.111.1"	[28, -1, 1]	140	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-113, -10], [452, 5]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-10a-113\\right){x}+5a+452"
"140.5-b1"	"140.5-b"	"2.0.111.1"	[28, -1, 1]	140	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [2, 5], [18, 17]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(5a+2\\right){x}+17a+18"
"140.5-c1"	"140.5-c"	"2.0.111.1"	[28, -1, 1]	140	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-929, -95], [-9607, -1185]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-95a-929\\right){x}-1185a-9607"
"140.5-d1"	"140.5-d"	"2.0.111.1"	[28, -1, 1]	140	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [7, -4], [-17, -10]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-4a+7\\right){x}-10a-17"
"140.6-a1"	"140.6-a"	"2.0.111.1"	[28, -1, 1]	140	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-6, -6], [44, -18]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6a-6\\right){x}-18a+44"
"140.6-a2"	"140.6-a"	"2.0.111.1"	[28, -1, 1]	140	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [4964, 84], [-32786, 19722]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(84a+4964\\right){x}+19722a-32786"
"140.6-a3"	"140.6-a"	"2.0.111.1"	[28, -1, 1]	140	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [1454, -11], [176, -4539]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-11a+1454\\right){x}-4539a+176"
"140.6-b1"	"140.6-b"	"2.0.111.1"	[28, -1, 1]	140	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [0, -10], [71, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2-10a{x}+71"
"140.6-b2"	"140.6-b"	"2.0.111.1"	[28, -1, 1]	140	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [490, -140], [8191, 680]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-140a+490\\right){x}+680a+8191"
"140.6-b3"	"140.6-b"	"2.0.111.1"	[28, -1, 1]	140	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [120, -50], [-953, 192]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-50a+120\\right){x}+192a-953"
"140.7-a1"	"140.7-a"	"2.0.111.1"	[28, -1, 1]	140	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-8, -4], [16, 0]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-4a-8\\right){x}+16"
"140.7-a2"	"140.7-a"	"2.0.111.1"	[28, -1, 1]	140	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [352, 126], [5176, -190]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(126a+352\\right){x}-190a+5176"
"140.7-a3"	"140.7-a"	"2.0.111.1"	[28, -1, 1]	140	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [72, 36], [-1936, -72]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(36a+72\\right){x}-72a-1936"
"140.7-b1"	"140.7-b"	"2.0.111.1"	[28, -1, 1]	140	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-13, 8], [13, 25]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(8a-13\\right){x}+25a+13"
"140.7-b2"	"140.7-b"	"2.0.111.1"	[28, -1, 1]	140	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [5047, -82], [-8017, -19805]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-82a+5047\\right){x}-19805a-8017"
"140.7-b3"	"140.7-b"	"2.0.111.1"	[28, -1, 1]	140	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [1442, 13], [-2921, 4551]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(13a+1442\\right){x}+4551a-2921"
"140.8-a1"	"140.8-a"	"2.0.111.1"	[28, -1, 1]	140	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-1023, 94], [-10791, 1184]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(94a-1023\\right){x}+1184a-10791"
"140.8-b1"	"140.8-b"	"2.0.111.1"	[28, -1, 1]	140	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [3, 4], [-27, 10]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+3\\right){x}+10a-27"
"140.8-c1"	"140.8-c"	"2.0.111.1"	[28, -1, 1]	140	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-123, 10], [457, -5]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(10a-123\\right){x}-5a+457"
"140.8-d1"	"140.8-d"	"2.0.111.1"	[28, -1, 1]	140	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [7, -5], [35, -17]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a+7\\right){x}-17a+35"
"144.1-a1"	"144.1-a"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [7, 1], [-3, -1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a+7\\right){x}-a-3"
"144.1-a2"	"144.1-a"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [3367, 1], [6045, -15457]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a+3367\\right){x}-15457a+6045"
"144.1-b1"	"144.1-b"	"2.0.111.1"	[28, -1, 1]	144	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-20, 1], [0, 20]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-20\\right){x}+20a"
"144.1-b2"	"144.1-b"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [220, 1], [-192, 164]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a+220\\right){x}+164a-192"
"144.1-b3"	"144.1-b"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [1, -3], [14, -2]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-3a+1\\right){x}-2a+14"
"144.1-b4"	"144.1-b"	"2.0.111.1"	[28, -1, 1]	144	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-819, -88], [-5474, -1586]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-88a-819\\right){x}-1586a-5474"
"144.1-c1"	"144.1-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-23, -17], [-1050, -7]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-17a-23\\right){x}-7a-1050"
"144.1-c2"	"144.1-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [517, 238], [-23478, -598]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(238a+517\\right){x}-598a-23478"
"144.1-c3"	"144.1-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-112, 28], [828, -193]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(28a-112\\right){x}-193a+828"
"144.1-c4"	"144.1-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-51, 180], [6090, 1086]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(180a-51\\right){x}+1086a+6090"
"144.1-d1"	"144.1-d"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [27, 18], [-131, -28]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(18a+27\\right){x}-28a-131"
"144.1-d2"	"144.1-d"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [7587, 3588], [1195021, 16016]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(3588a+7587\\right){x}+16016a+1195021"
"144.3-a1"	"144.3-a"	"2.0.111.1"	[28, -1, 1]	144	2	[2]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 0], [0, 0], [-27, 0]]	"{y}^2={x}^3-27"
"144.3-a2"	"144.3-a"	"2.0.111.1"	[28, -1, 1]	144	2	[6]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]	"{y}^2={x}^3+1"
"144.3-a3"	"144.3-a"	"2.0.111.1"	[28, -1, 1]	144	2	[6]	-12	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 0], [-15, 0], [22, 0]]	"{y}^2={x}^3-15{x}+22"
"144.3-a4"	"144.3-a"	"2.0.111.1"	[28, -1, 1]	144	2	[2]	-12	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 0], [-135, 0], [-594, 0]]	"{y}^2={x}^3-135{x}-594"
"144.5-a1"	"144.5-a"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [7, 1], [3, 1]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+7\\right){x}+a+3"
"144.5-a2"	"144.5-a"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [3367, 1], [-6045, 15457]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+3367\\right){x}+15457a-6045"
"144.5-b1"	"144.5-b"	"2.0.111.1"	[28, -1, 1]	144	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-20, 1], [0, -20]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-20\\right){x}-20a"
"144.5-b2"	"144.5-b"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [220, 1], [192, -164]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+220\\right){x}-164a+192"
"144.5-b3"	"144.5-b"	"2.0.111.1"	[28, -1, 1]	144	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-921, 75], [-9342, 753]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(75a-921\\right){x}+753a-9342"
"144.5-b4"	"144.5-b"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-16, -10], [110, -11]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-10a-16\\right){x}-11a+110"
"144.5-c1"	"144.5-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-54, 6], [-1365, -15]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(6a-54\\right){x}-15a-1365"
"144.5-c2"	"144.5-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [741, -249], [-17244, 1116]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-249a+741\\right){x}+1116a-17244"
"144.5-c3"	"144.5-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [115, -191], [12384, -1136]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-191a+115\\right){x}-1136a+12384"
"144.5-c4"	"144.5-c"	"2.0.111.1"	[28, -1, 1]	144	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-84, -30], [635, 192]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-30a-84\\right){x}+192a+635"
"144.5-d1"	"144.5-d"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [44, -16], [-115, 10]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-16a+44\\right){x}+10a-115"
"144.5-d2"	"144.5-d"	"2.0.111.1"	[28, -1, 1]	144	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [11174, -3586], [1222211, -19604]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3586a+11174\\right){x}-19604a+1222211"
"147.2-a1"	"147.2-a"	"2.0.111.1"	[28, -1, 1]	147	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-34, 0], [-217, 0]]	"{y}^2+{x}{y}={x}^3-34{x}-217"
"147.2-a2"	"147.2-a"	"2.0.111.1"	[28, -1, 1]	147	2	[4]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [1, 0], [0, 0]]	"{y}^2+{x}{y}={x}^3+{x}"
"147.2-a3"	"147.2-a"	"2.0.111.1"	[28, -1, 1]	147	2	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-4, 0], [-1, 0]]	"{y}^2+{x}{y}={x}^3-4{x}-1"
"147.2-a4"	"147.2-a"	"2.0.111.1"	[28, -1, 1]	147	2	[8]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-39, 0], [90, 0]]	"{y}^2+{x}{y}={x}^3-39{x}+90"
"147.2-a5"	"147.2-a"	"2.0.111.1"	[28, -1, 1]	147	2	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-49, 0], [-136, 0]]	"{y}^2+{x}{y}={x}^3-49{x}-136"
"147.2-a6"	"147.2-a"	"2.0.111.1"	[28, -1, 1]	147	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-784, 0], [-8515, 0]]	"{y}^2+{x}{y}={x}^3-784{x}-8515"
"147.2-b1"	"147.2-b"	"2.0.111.1"	[28, -1, 1]	147	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-306, 0], [5859, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-306{x}+5859"
"147.2-b2"	"147.2-b"	"2.0.111.1"	[28, -1, 1]	147	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [9, 0], [0, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+9{x}"
"147.2-b3"	"147.2-b"	"2.0.111.1"	[28, -1, 1]	147	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-36, 0], [27, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-36{x}+27"
"147.2-b4"	"147.2-b"	"2.0.111.1"	[28, -1, 1]	147	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-351, 0], [-2430, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-351{x}-2430"
"147.2-b5"	"147.2-b"	"2.0.111.1"	[28, -1, 1]	147	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-441, 0], [3672, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-441{x}+3672"
"147.2-b6"	"147.2-b"	"2.0.111.1"	[28, -1, 1]	147	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-7056, 0], [229905, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-7056{x}+229905"
"150.1-a1"	"150.1-a"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [418, -167], [-10456, 918]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-167a+418\\right){x}+918a-10456"
"150.1-a2"	"150.1-a"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 1], [104, 12], [476, -68]]	"{y}^2+a{y}={x}^3+{x}^2+\\left(12a+104\\right){x}-68a+476"
"150.1-b1"	"150.1-b"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-16, 2], [0, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(2a-16\\right){x}+3a"
"150.1-c1"	"150.1-c"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 0], [-330, 13], [-1881, 111]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-{x}^2+\\left(13a-330\\right){x}+111a-1881"
"150.1-d1"	"150.1-d"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [74, -18], [248, 19]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+\\left(-18a+74\\right){x}+19a+248"
"150.1-d2"	"150.1-d"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [729, -83], [-7699, -938]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+\\left(-83a+729\\right){x}-938a-7699"
"150.3-a1"	"150.3-a"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [307, 53], [-4439, 419]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(53a+307\\right){x}+419a-4439"
"150.3-b1"	"150.3-b"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [-988, 496], [-31385, -11830]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(496a-988\\right){x}-11830a-31385"
"150.4-a1"	"150.4-a"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [387, -52], [-4379, -367]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-52a+387\\right){x}-367a-4379"
"150.4-b1"	"150.4-b"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [-463, -510], [-29117, 10856]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-510a-463\\right){x}+10856a-29117"
"150.6-a1"	"150.6-a"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [252, 166], [-9538, -918]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(166a+252\\right){x}-918a-9538"
"150.6-a2"	"150.6-a"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 1], [116, -12], [408, 67]]	"{y}^2+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-12a+116\\right){x}+67a+408"
"150.6-b1"	"150.6-b"	"2.0.111.1"	[28, -1, 1]	150	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [15, -17], [269, -3]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-17a+15\\right){x}-3a+269"
"150.6-c1"	"150.6-c"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [1, 0], [-316, -14], [-1770, -111]]	"{y}^2+a{x}{y}+{y}={x}^3-a{x}^2+\\left(-14a-316\\right){x}-111a-1770"
"150.6-d1"	"150.6-d"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [57, 16], [267, -20]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(16a+57\\right){x}-20a+267"
"150.6-d2"	"150.6-d"	"2.0.111.1"	[28, -1, 1]	150	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [647, 81], [-8637, 937]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(81a+647\\right){x}+937a-8637"
"168.2-a1"	"168.2-a"	"2.0.111.1"	[28, -1, 1]	168	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-81, -7], [-185, -31]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-7a-81\\right){x}-31a-185"
"168.2-a2"	"168.2-a"	"2.0.111.1"	[28, -1, 1]	168	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [24, -2], [4, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-2a+24\\right){x}+2a+4"
"168.2-a3"	"168.2-a"	"2.0.111.1"	[28, -1, 1]	168	2	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [17, 10], [-44, 22]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(10a+17\\right){x}+22a-44"
"168.2-a4"	"168.2-a"	"2.0.111.1"	[28, -1, 1]	168	2	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [19, -2], [7, 1]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-2a+19\\right){x}+a+7"
"168.2-b1"	"168.2-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-496, 94], [-2540, 875]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(94a-496\\right){x}+875a-2540"
"168.2-b2"	"168.2-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [8, -2], [8, -1]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a+8\\right){x}-a+8"
"168.2-b3"	"168.2-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-70, -1], [-7, -19]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-a-70\\right){x}-19a-7"
"168.2-b4"	"168.2-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-16, -1], [44, -1]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-a-16\\right){x}-a+44"
"168.7-a1"	"168.7-a"	"2.0.111.1"	[28, -1, 1]	168	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-88, 5], [-216, 30]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(5a-88\\right){x}+30a-216"
"168.7-a2"	"168.7-a"	"2.0.111.1"	[28, -1, 1]	168	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [22, 0], [6, -3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+22{x}-3a+6"
"168.7-a3"	"168.7-a"	"2.0.111.1"	[28, -1, 1]	168	2	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [17, 0], [8, -2]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+17{x}-2a+8"
"168.7-a4"	"168.7-a"	"2.0.111.1"	[28, -1, 1]	168	2	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [13, -23], [454, -5]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-23a+13\\right){x}-5a+454"
"168.7-b1"	"168.7-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-416, -109], [1177, -1386]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-109a-416\\right){x}-1386a+1177"
"168.7-b2"	"168.7-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [6, 0], [7, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+6{x}+7"
"168.7-b3"	"168.7-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-31, -14], [225, -30]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-14a-31\\right){x}-30a+225"
"168.7-b4"	"168.7-b"	"2.0.111.1"	[28, -1, 1]	168	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-71, 1], [-26, 19]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(a-71\\right){x}+19a-26"
"180.3-a1"	"180.3-a"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [2775, 849], [-158271, 4179]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(849a+2775\\right){x}+4179a-158271"
"180.3-a2"	"180.3-a"	"2.0.111.1"	[28, -1, 1]	180	0	[6]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [4, -3], [4, -2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a+4\\right){x}-2a+4"
"180.3-a3"	"180.3-a"	"2.0.111.1"	[28, -1, 1]	180	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-110, -11], [-1084, 61]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-11a-110\\right){x}+61a-1084"
"180.3-a4"	"180.3-a"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [104, 22], [28, -148]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(22a+104\\right){x}-148a+28"
"180.3-b1"	"180.3-b"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [1, 1], [9, -1]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+1\\right){x}-a+9"
"180.3-b2"	"180.3-b"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [93, 15], [225, -81]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(15a+93\\right){x}-81a+225"
"180.3-c1"	"180.3-c"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [88, 13], [155, -36]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(13a+88\\right){x}-36a+155"
"180.3-c2"	"180.3-c"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-251, 123], [2909, 1269]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(123a-251\\right){x}+1269a+2909"
"180.3-d1"	"180.3-d"	"2.0.111.1"	[28, -1, 1]	180	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-5522, 126], [158561, -5466]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(126a-5522\\right){x}-5466a+158561"
"180.3-d2"	"180.3-d"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-225, 5], [-1249, 44]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(5a-225\\right){x}+44a-1249"
"180.3-d3"	"180.3-d"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [113, -14], [1075, -62]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-14a+113\\right){x}-62a+1075"
"180.3-d4"	"180.3-d"	"2.0.111.1"	[28, -1, 1]	180	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [850, -45], [-6871, 102]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-45a+850\\right){x}+102a-6871"
"180.4-a1"	"180.4-a"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [3624, -849], [-154092, -4179]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-849a+3624\\right){x}-4179a-154092"
"180.4-a2"	"180.4-a"	"2.0.111.1"	[28, -1, 1]	180	0	[6]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [1, 1], [2, 1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}+a+2"
"180.4-a3"	"180.4-a"	"2.0.111.1"	[28, -1, 1]	180	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-121, 11], [-1023, -61]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(11a-121\\right){x}-61a-1023"
"180.4-a4"	"180.4-a"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [126, -24], [-120, 147]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-24a+126\\right){x}+147a-120"
"180.4-b1"	"180.4-b"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [102, -14], [120, 35]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-14a+102\\right){x}+35a+120"
"180.4-b2"	"180.4-b"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-128, -123], [4178, -1269]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-123a-128\\right){x}-1269a+4178"
"180.4-c1"	"180.4-c"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [2, -1], [8, 1]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-a+2\\right){x}+a+8"
"180.4-c2"	"180.4-c"	"2.0.111.1"	[28, -1, 1]	180	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [108, -15], [144, 81]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-15a+108\\right){x}+81a+144"
"180.4-d1"	"180.4-d"	"2.0.111.1"	[28, -1, 1]	180	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-5396, -126], [153095, 5466]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-126a-5396\\right){x}+5466a+153095"
"180.4-d2"	"180.4-d"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-220, -5], [-1205, -44]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-5a-220\\right){x}-44a-1205"
"180.4-d3"	"180.4-d"	"2.0.111.1"	[28, -1, 1]	180	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [99, 14], [1013, 62]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(14a+99\\right){x}+62a+1013"
"180.4-d4"	"180.4-d"	"2.0.111.1"	[28, -1, 1]	180	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [805, 45], [-6769, -102]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(45a+805\\right){x}-102a-6769"
"192.2-a1"	"192.2-a"	"2.0.111.1"	[28, -1, 1]	192	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-175, 5], [-690, 108]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(5a-175\\right){x}+108a-690"
"192.2-b1"	"192.2-b"	"2.0.111.1"	[28, -1, 1]	192	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [124, -33], [1000, -7]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-33a+124\\right){x}-7a+1000"
"192.4-a1"	"192.4-a"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [16, 0], [-180, 0]]	"{y}^2={x}^3-{x}^2+16{x}-180"
"192.4-a2"	"192.4-a"	"2.0.111.1"	[28, -1, 1]	192	1	[4]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [1, 0], [0, 0]]	"{y}^2={x}^3-{x}^2+{x}"
"192.4-a3"	"192.4-a"	"2.0.111.1"	[28, -1, 1]	192	1	[2, 4]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-4, 0], [4, 0]]	"{y}^2={x}^3-{x}^2-4{x}+4"
"192.4-a4"	"192.4-a"	"2.0.111.1"	[28, -1, 1]	192	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-24, 0], [-36, 0]]	"{y}^2={x}^3-{x}^2-24{x}-36"
"192.4-a5"	"192.4-a"	"2.0.111.1"	[28, -1, 1]	192	1	[4]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-64, 0], [220, 0]]	"{y}^2={x}^3-{x}^2-64{x}+220"
"192.4-a6"	"192.4-a"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-384, 0], [-2772, 0]]	"{y}^2={x}^3-{x}^2-384{x}-2772"
"192.4-b1"	"192.4-b"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [141, 0], [4718, 0]]	"{y}^2={x}^3+141{x}+4718"
"192.4-b2"	"192.4-b"	"2.0.111.1"	[28, -1, 1]	192	1	[4]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [6, 0], [-7, 0]]	"{y}^2={x}^3+6{x}-7"
"192.4-b3"	"192.4-b"	"2.0.111.1"	[28, -1, 1]	192	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-39, 0], [-70, 0]]	"{y}^2={x}^3-39{x}-70"
"192.4-b4"	"192.4-b"	"2.0.111.1"	[28, -1, 1]	192	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-219, 0], [1190, 0]]	"{y}^2={x}^3-219{x}+1190"
"192.4-b5"	"192.4-b"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-579, 0], [-5362, 0]]	"{y}^2={x}^3-579{x}-5362"
"192.4-b6"	"192.4-b"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-3459, 0], [78302, 0]]	"{y}^2={x}^3-3459{x}+78302"
"192.4-c1"	"192.4-c"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-79, -27], [316, -127]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-27a-79\\right){x}-127a+316"
"192.4-c2"	"192.4-c"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-1024, -387], [7372, -8758]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-387a-1024\\right){x}-8758a+7372"
"192.4-d1"	"192.4-d"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-106, 27], [189, 127]]	"{y}^2={x}^3-a{x}^2+\\left(27a-106\\right){x}+127a+189"
"192.4-d2"	"192.4-d"	"2.0.111.1"	[28, -1, 1]	192	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-1411, 387], [-1386, 8758]]	"{y}^2={x}^3-a{x}^2+\\left(387a-1411\\right){x}+8758a-1386"
"192.6-a1"	"192.6-a"	"2.0.111.1"	[28, -1, 1]	192	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-170, -5], [-582, -108]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-5a-170\\right){x}-108a-582"
"192.6-b1"	"192.6-b"	"2.0.111.1"	[28, -1, 1]	192	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [91, 31], [993, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(31a+91\\right){x}+6a+993"
"196.1-a1"	"196.1-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 1], [-9, 1], [29, -4]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}-4a+29"
"196.1-a2"	"196.1-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 1], [-9, 1], [-363, -39]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}-39a-363"
"196.3-a1"	"196.3-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 1], [-9, 1], [107, 79]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}+79a+107"
"196.3-a2"	"196.3-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [23, -3]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}-3a+23"
"196.4-a1"	"196.4-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [138, 0], [-862, 138]]	"{y}^2+{x}{y}={x}^3-{x}^2+138{x}+138a-862"
"196.4-a2"	"196.4-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-431, 124], [10109, 1839]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(124a-431\\right){x}+1839a+10109"
"196.4-a3"	"196.4-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [59, -16], [-475, -37]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-16a+59\\right){x}-37a-475"
"196.4-a4"	"196.4-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [2579, 734], [138741, -5555]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(734a+2579\\right){x}-5555a+138741"
"196.4-b1"	"196.4-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [6, -1], [41, -10]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a+6\\right){x}-10a+41"
"196.4-b2"	"196.4-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [741, -1], [-8443, -2003]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a+741\\right){x}-2003a-8443"
"196.4-b3"	"196.4-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [610, -135], [9769, 408]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-135a+610\\right){x}+408a+9769"
"196.4-b4"	"196.4-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-4894, 139], [-130985, 7256]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(139a-4894\\right){x}+7256a-130985"
"196.5-a1"	"196.5-a"	"2.0.111.1"	[28, -1, 1]	196	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-171, 0], [-874, 0]]	"{y}^2+{x}{y}+{y}={x}^3-171{x}-874"
"196.5-a2"	"196.5-a"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-1, 0], [0, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}"
"196.5-a3"	"196.5-a"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [4, 0], [-6, 0]]	"{y}^2+{x}{y}+{y}={x}^3+4{x}-6"
"196.5-a4"	"196.5-a"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-36, 0], [-70, 0]]	"{y}^2+{x}{y}+{y}={x}^3-36{x}-70"
"196.5-a5"	"196.5-a"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-11, 0], [12, 0]]	"{y}^2+{x}{y}+{y}={x}^3-11{x}+12"
"196.5-a6"	"196.5-a"	"2.0.111.1"	[28, -1, 1]	196	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-2731, 0], [-55146, 0]]	"{y}^2+{x}{y}+{y}={x}^3-2731{x}-55146"
"196.5-b1"	"196.5-b"	"2.0.111.1"	[28, -1, 1]	196	2	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-112, -170], [-2912, 2004]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-170a-112\\right){x}+2004a-2912"
"196.5-b2"	"196.5-b"	"2.0.111.1"	[28, -1, 1]	196	2	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [28, 5], [-252, 9]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(5a+28\\right){x}+9a-252"
"196.5-b3"	"196.5-b"	"2.0.111.1"	[28, -1, 1]	196	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [748, 405], [36612, 1001]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(405a+748\\right){x}+1001a+36612"
"196.5-c1"	"196.5-c"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-5552, 257], [161100, -8061]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(257a-5552\\right){x}-8061a+161100"
"196.5-c2"	"196.5-c"	"2.0.111.1"	[28, -1, 1]	196	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [363, 12], [1045, -396]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(12a+363\\right){x}-396a+1045"
"196.5-c3"	"196.5-c"	"2.0.111.1"	[28, -1, 1]	196	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [14783, -123], [-24351, 125667]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-123a+14783\\right){x}+125667a-24351"
"196.5-d1"	"196.5-d"	"2.0.111.1"	[28, -1, 1]	196	2	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-270, 156], [-5231, -2274]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(156a-270\\right){x}-2274a-5231"
"196.5-d2"	"196.5-d"	"2.0.111.1"	[28, -1, 1]	196	2	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [45, -19], [19, 36]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-19a+45\\right){x}+36a+19"
"196.5-d3"	"196.5-d"	"2.0.111.1"	[28, -1, 1]	196	2	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [1165, -419], [47955, 164]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-419a+1165\\right){x}+164a+47955"
"196.5-e1"	"196.5-e"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-5296, -255], [147743, 7805]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-255a-5296\\right){x}+7805a+147743"
"196.5-e2"	"196.5-e"	"2.0.111.1"	[28, -1, 1]	196	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [374, -10], [1023, 385]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-10a+374\\right){x}+385a+1023"
"196.5-e3"	"196.5-e"	"2.0.111.1"	[28, -1, 1]	196	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [14659, 125], [115975, -125543]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(125a+14659\\right){x}-125543a+115975"
"196.5-f1"	"196.5-f"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1535, 0], [23591, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-1535{x}+23591"
"196.5-f2"	"196.5-f"	"2.0.111.1"	[28, -1, 1]	196	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-5, 0], [-7, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-5{x}-7"
"196.5-f3"	"196.5-f"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [40, 0], [155, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+40{x}+155"
"196.5-f4"	"196.5-f"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-320, 0], [1883, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-320{x}+1883"
"196.5-f5"	"196.5-f"	"2.0.111.1"	[28, -1, 1]	196	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-95, 0], [-331, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-95{x}-331"
"196.5-f6"	"196.5-f"	"2.0.111.1"	[28, -1, 1]	196	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-24575, 0], [1488935, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-24575{x}+1488935"
"196.6-a1"	"196.6-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-307, -125], [11948, -1840]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-125a-307\\right){x}-1840a+11948"
"196.6-a2"	"196.6-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [138, 0], [-724, -138]]	"{y}^2+{x}{y}={x}^3-{x}^2+138{x}-138a-724"
"196.6-a3"	"196.6-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [3313, -735], [133186, 5554]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-735a+3313\\right){x}+5554a+133186"
"196.6-a4"	"196.6-a"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [43, 15], [-512, 36]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(15a+43\\right){x}+36a-512"
"196.6-b1"	"196.6-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [741, 0], [-10445, 2002]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+741{x}+2002a-10445"
"196.6-b2"	"196.6-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [6, 0], [32, 9]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+6{x}+9a+32"
"196.6-b3"	"196.6-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-4754, -140], [-123728, -7257]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-140a-4754\\right){x}-7257a-123728"
"196.6-b4"	"196.6-b"	"2.0.111.1"	[28, -1, 1]	196	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [475, 135], [10177, -408]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(135a+475\\right){x}-408a+10177"
"196.7-a1"	"196.7-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [1, 1], [-9, 1], [195, -80]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}-80a+195"
"196.7-a2"	"196.7-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [29, 3]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}+3a+29"
"196.9-a1"	"196.9-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [1, 1], [-9, 1], [16, 3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}+3a+16"
"196.9-a2"	"196.9-a"	"2.0.111.1"	[28, -1, 1]	196	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [1, 1], [-9, 1], [-411, 38]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}+38a-411"
"210.2-a1"	"210.2-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [12, -2], [26, -10]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-2a+12\\right){x}-10a+26"
"210.2-a2"	"210.2-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [37, 19], [433, 17]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(19a+37\\right){x}+17a+433"
"210.2-b1"	"210.2-b"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-228, 32], [372, -753]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(32a-228\\right){x}-753a+372"
"210.2-b2"	"210.2-b"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-98, 7], [-236, 16]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(7a-98\\right){x}+16a-236"
"210.2-c1"	"210.2-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-40, 4], [242, 1071]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(4a-40\\right){x}+1071a+242"
"210.2-c2"	"210.2-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [3, 1], [9, -2]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a+3\\right){x}-2a+9"
"210.2-c3"	"210.2-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [114, 5], [-4, -79]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(5a+114\\right){x}-79a-4"
"210.2-c4"	"210.2-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [1394, 85], [8764, -4031]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(85a+1394\\right){x}-4031a+8764"
"210.2-d1"	"210.2-d"	"2.0.111.1"	[28, -1, 1]	210	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [25, 5], [-67, -1062]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(5a+25\\right){x}-1062a-67"
"210.2-d2"	"210.2-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [109, 6], [95, -51]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(6a+109\\right){x}-51a+95"
"210.2-d3"	"210.2-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [34, 109], [4212, 540]]	"{y}^2+{x}{y}={x}^3+\\left(109a+34\\right){x}+540a+4212"
"210.2-d4"	"210.2-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [534, 1734], [273112, 34465]]	"{y}^2+{x}{y}={x}^3+\\left(1734a+534\\right){x}+34465a+273112"
"210.2-e1"	"210.2-e"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-8, 0], [-2, 1]]	"{y}^2+{x}{y}={x}^3-a{x}^2-8{x}+a-2"
"210.2-e2"	"210.2-e"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [8, -4], [20, -1]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-4a+8\\right){x}-a+20"
"210.2-f1"	"210.2-f"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [221, 20], [-761, 612]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(20a+221\\right){x}+612a-761"
"210.2-f2"	"210.2-f"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-531, -77], [-3047, -1324]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-77a-531\\right){x}-1324a-3047"
"210.3-a1"	"210.3-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-80, 12], [-1654, 231]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(12a-80\\right){x}+231a-1654"
"210.3-a2"	"210.3-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [1280, 307], [-37838, 2033]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(307a+1280\\right){x}+2033a-37838"
"210.3-a3"	"210.3-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [364, 160], [9688, 263]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(160a+364\\right){x}+263a+9688"
"210.3-a4"	"210.3-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-12, 51], [-1176, -222]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(51a-12\\right){x}-222a-1176"
"210.3-b1"	"210.3-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [17, 4], [69, 9]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(4a+17\\right){x}+9a+69"
"210.3-b2"	"210.3-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [357, -16], [-143, 445]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-16a+357\\right){x}+445a-143"
"210.3-b3"	"210.3-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-953, -1], [-11131, 54]]	"{y}^2+{x}{y}={x}^3+\\left(-a-953\\right){x}+54a-11131"
"210.3-b4"	"210.3-b"	"2.0.111.1"	[28, -1, 1]	210	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [-11, 6], [107, 5]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6a-11\\right){x}+5a+107"
"210.6-a1"	"210.6-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [21, -4], [78, -9]]	"{y}^2+a{x}{y}={x}^3+\\left(-4a+21\\right){x}-9a+78"
"210.6-a2"	"210.6-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-954, 1], [-11077, -54]]	"{y}^2+{x}{y}={x}^3+\\left(a-954\\right){x}-54a-11077"
"210.6-a3"	"210.6-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [341, 16], [302, -445]]	"{y}^2+a{x}{y}={x}^3+\\left(16a+341\\right){x}-445a+302"
"210.6-a4"	"210.6-a"	"2.0.111.1"	[28, -1, 1]	210	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [-5, -5], [108, -12]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a-5\\right){x}-12a+108"
"210.6-b1"	"210.6-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-68, -12], [-1423, -231]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-12a-68\\right){x}-231a-1423"
"210.6-b2"	"210.6-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [523, -159], [9428, -104]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-159a+523\\right){x}-104a+9428"
"210.6-b3"	"210.6-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [1587, -307], [-35805, -2033]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-307a+1587\\right){x}-2033a-35805"
"210.6-b4"	"210.6-b"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [39, -51], [-1398, 222]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-51a+39\\right){x}+222a-1398"
"210.7-a1"	"210.7-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [10, 1], [16, 9]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(a+10\\right){x}+9a+16"
"210.7-a2"	"210.7-a"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [56, -20], [450, -18]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-20a+56\\right){x}-18a+450"
"210.7-b1"	"210.7-b"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-198, -30], [-184, 784]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-30a-198\\right){x}+784a-184"
"210.7-b2"	"210.7-b"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-64, -6], [-128, -10]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6a-64\\right){x}-10a-128"
"210.7-c1"	"210.7-c"	"2.0.111.1"	[28, -1, 1]	210	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [29, -4], [-1158, 1065]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-4a+29\\right){x}+1065a-1158"
"210.7-c2"	"210.7-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [115, -6], [44, 51]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-6a+115\\right){x}+51a+44"
"210.7-c3"	"210.7-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [143, -109], [4752, -540]]	"{y}^2+{x}{y}={x}^3+\\left(-109a+143\\right){x}-540a+4752"
"210.7-c4"	"210.7-c"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [2268, -1734], [307577, -34465]]	"{y}^2+{x}{y}={x}^3+\\left(-1734a+2268\\right){x}-34465a+307577"
"210.7-d1"	"210.7-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-36, -4], [1313, -1071]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-4a-36\\right){x}-1071a+1313"
"210.7-d2"	"210.7-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [4, 0], [11, 1]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+4{x}+a+11"
"210.7-d3"	"210.7-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [121, -7], [-82, 78]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-7a+121\\right){x}+78a-82"
"210.7-d4"	"210.7-d"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [1481, -87], [4734, 4030]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-87a+1481\\right){x}+4030a+4734"
"210.7-e1"	"210.7-e"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-8, 0], [-1, -1]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2-8{x}-a-1"
"210.7-e2"	"210.7-e"	"2.0.111.1"	[28, -1, 1]	210	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-10, -11], [117, -6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-11a-10\\right){x}-6a+117"
"210.7-f1"	"210.7-f"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [241, -18], [92, -631]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-18a+241\\right){x}-631a+92"
"210.7-f2"	"210.7-f"	"2.0.111.1"	[28, -1, 1]	210	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-609, 79], [-3762, 1246]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(79a-609\\right){x}+1246a-3762"
"216.2-a1"	"216.2-a"	"2.0.111.1"	[28, -1, 1]	216	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-45, 26], [191, -145]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(26a-45\\right){x}-145a+191"
"216.2-a2"	"216.2-a"	"2.0.111.1"	[28, -1, 1]	216	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [1655, -29], [-4553, -4963]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-29a+1655\\right){x}-4963a-4553"
"216.2-b1"	"216.2-b"	"2.0.111.1"	[28, -1, 1]	216	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-65, -17], [139, 165]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-17a-65\\right){x}+165a+139"
"216.2-b2"	"216.2-b"	"2.0.111.1"	[28, -1, 1]	216	2	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-765, 288], [5487, 4146]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(288a-765\\right){x}+4146a+5487"
"216.3-a1"	"216.3-a"	"2.0.111.1"	[28, -1, 1]	216	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-19, -28], [46, 144]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-28a-19\\right){x}+144a+46"
"216.3-a2"	"216.3-a"	"2.0.111.1"	[28, -1, 1]	216	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [1626, 27], [-9516, 4962]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(27a+1626\\right){x}+4962a-9516"
"216.3-b1"	"216.3-b"	"2.0.111.1"	[28, -1, 1]	216	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-82, 17], [304, -165]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(17a-82\\right){x}-165a+304"
"216.3-b2"	"216.3-b"	"2.0.111.1"	[28, -1, 1]	216	2	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-477, -288], [9633, -4146]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-288a-477\\right){x}-4146a+9633"
"224.4-a1"	"224.4-a"	"2.0.111.1"	[28, -1, 1]	224	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [12, -5], [24, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a+12\\right){x}+2a+24"
"224.4-b1"	"224.4-b"	"2.0.111.1"	[28, -1, 1]	224	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [12, 3], [24, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+12\\right){x}-3a+24"
"224.9-a1"	"224.9-a"	"2.0.111.1"	[28, -1, 1]	224	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-8, -8], [48, 4]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-8a-8\\right){x}+4a+48"
"224.9-b1"	"224.9-b"	"2.0.111.1"	[28, -1, 1]	224	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [15, -3], [21, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-3a+15\\right){x}+3a+21"
"230.3-a1"	"230.3-a"	"2.0.111.1"	[28, -1, 1]	230	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 1], [128, 6], [312, -105]]	"{y}^2+a{y}={x}^3+{x}^2+\\left(6a+128\\right){x}-105a+312"
"230.3-b1"	"230.3-b"	"2.0.111.1"	[28, -1, 1]	230	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [630, -122], [-10464, -228]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+\\left(-122a+630\\right){x}-228a-10464"
"230.6-a1"	"230.6-a"	"2.0.111.1"	[28, -1, 1]	230	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [509, 120], [-10692, 227]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(120a+509\\right){x}+227a-10692"
"230.6-b1"	"230.6-b"	"2.0.111.1"	[28, -1, 1]	230	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 1], [134, -6], [207, 104]]	"{y}^2+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-6a+134\\right){x}+104a+207"
"240.1-a1"	"240.1-a"	"2.0.111.1"	[28, -1, 1]	240	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [33, 43], [-834, -122]]	"{y}^2={x}^3-a{x}^2+\\left(43a+33\\right){x}-122a-834"
"240.1-a2"	"240.1-a"	"2.0.111.1"	[28, -1, 1]	240	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-7, 3], [6, -2]]	"{y}^2={x}^3-a{x}^2+\\left(3a-7\\right){x}-2a+6"
"240.1-a3"	"240.1-a"	"2.0.111.1"	[28, -1, 1]	240	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [68, -7], [288, 48]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-7a+68\\right){x}+48a+288"
"240.1-a4"	"240.1-a"	"2.0.111.1"	[28, -1, 1]	240	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-4, -4], [16, 1]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-4a-4\\right){x}+a+16"
"240.1-b1"	"240.1-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-1144, 190], [15888, -3899]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(190a-1144\\right){x}-3899a+15888"
"240.1-b2"	"240.1-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-44, 15], [448, -79]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(15a-44\\right){x}-79a+448"
"240.1-b3"	"240.1-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-43, -4], [-330, -37]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-4a-43\\right){x}-37a-330"
"240.1-b4"	"240.1-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [8, 7], [76, -19]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(7a+8\\right){x}-19a+76"
"240.10-a1"	"240.10-a"	"2.0.111.1"	[28, -1, 1]	240	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [76, -43], [-956, 122]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-43a+76\\right){x}+122a-956"
"240.10-a2"	"240.10-a"	"2.0.111.1"	[28, -1, 1]	240	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-4, -3], [4, 2]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-4\\right){x}+2a+4"
"240.10-a3"	"240.10-a"	"2.0.111.1"	[28, -1, 1]	240	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [60, 7], [396, -41]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(7a+60\\right){x}-41a+396"
"240.10-a4"	"240.10-a"	"2.0.111.1"	[28, -1, 1]	240	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [4, -10], [68, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-10a+4\\right){x}+3a+68"
"240.10-b1"	"240.10-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-982, -189], [11007, 3709]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-189a-982\\right){x}+3709a+11007"
"240.10-b2"	"240.10-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-57, -14], [312, 64]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-14a-57\\right){x}+64a+312"
"240.10-b3"	"240.10-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-47, 2], [-367, 36]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(2a-47\\right){x}+36a-367"
"240.10-b4"	"240.10-b"	"2.0.111.1"	[28, -1, 1]	240	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [15, -9], [57, 18]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-9a+15\\right){x}+18a+57"
"250.3-a1"	"250.3-a"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [157, 21], [1093, -127]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(21a+157\\right){x}-127a+1093"
"250.3-a2"	"250.3-a"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [2537, 356], [62861, -8381]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(356a+2537\\right){x}-8381a+62861"
"250.3-b1"	"250.3-b"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [29, -38], [-1395, 127]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-38a+29\\right){x}+127a-1395"
"250.3-b2"	"250.3-b"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [649, -623], [-68919, 8074]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-623a+649\\right){x}+8074a-68919"
"250.6-a1"	"250.6-a"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [178, -22], [966, 126]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-22a+178\\right){x}+126a+966"
"250.6-a2"	"250.6-a"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [2893, -357], [54480, 8380]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-357a+2893\\right){x}+8380a+54480"
"250.6-b1"	"250.6-b"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-9, 38], [-1268, -127]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(38a-9\\right){x}-127a-1268"
"250.6-b2"	"250.6-b"	"2.0.111.1"	[28, -1, 1]	250	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [26, 623], [-60845, -8074]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(623a+26\\right){x}-8074a-60845"
"252.1-a1"	"252.1-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [63, -7], [-287, 33]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-7a+63\\right){x}+33a-287"
"252.1-a2"	"252.1-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-1097, -57], [15978, 1302]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-57a-1097\\right){x}+1302a+15978"
"252.1-b1"	"252.1-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-40, -43], [1544, 688]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-43a-40\\right){x}+688a+1544"
"252.1-b2"	"252.1-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [915, -168], [-15126, -654]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-168a+915\\right){x}-654a-15126"
"252.2-a1"	"252.2-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [39, -1], [-71, 3]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-a+39\\right){x}+3a-71"
"252.2-a2"	"252.2-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [24, -1], [4, 0]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-a+24\\right){x}+4"
"252.2-b1"	"252.2-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [59, -4], [158, 142]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-4a+59\\right){x}+142a+158"
"252.2-b2"	"252.2-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-76, 10], [588, -37]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(10a-76\\right){x}-37a+588"
"252.5-a1"	"252.5-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [38, -1], [-68, -4]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-a+38\\right){x}-4a-68"
"252.5-a2"	"252.5-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [23, -1], [4, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-a+23\\right){x}-a+4"
"252.5-b1"	"252.5-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [55, 4], [300, -142]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a+55\\right){x}-142a+300"
"252.5-b2"	"252.5-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-66, -12], [551, 36]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-12a-66\\right){x}+36a+551"
"252.6-a1"	"252.6-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [56, 5], [-254, -34]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(5a+56\\right){x}-34a-254"
"252.6-a2"	"252.6-a"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-1154, 55], [17280, -1303]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(55a-1154\\right){x}-1303a+17280"
"252.6-b1"	"252.6-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-83, 43], [2232, -688]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(43a-83\\right){x}-688a+2232"
"252.6-b2"	"252.6-b"	"2.0.111.1"	[28, -1, 1]	252	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [747, 168], [-15780, 654]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(168a+747\\right){x}+654a-15780"
"256.2-a1"	"256.2-a"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [59, -5], [-209, -7]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a+59\\right){x}-7a-209"
"256.2-b1"	"256.2-b"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [20, -2], [-16, 4]]	"{y}^2+a{x}{y}={x}^3+\\left(-2a+20\\right){x}+4a-16"
"256.5-a1"	"256.5-a"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-121, -43], [533, -273]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-43a-121\\right){x}-273a+533"
"256.5-a2"	"256.5-a"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-23641, -9003], [-292683, 938063]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-9003a-23641\\right){x}+938063a-292683"
"256.5-b1"	"256.5-b"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-164, 43], [260, 273]]	"{y}^2={x}^3-a{x}^2+\\left(43a-164\\right){x}+273a+260"
"256.5-b2"	"256.5-b"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-32644, 9003], [645380, -938063]]	"{y}^2={x}^3-a{x}^2+\\left(9003a-32644\\right){x}-938063a+645380"
"256.8-a1"	"256.8-a"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [54, 3], [-216, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(3a+54\\right){x}+6a-216"
"256.8-b1"	"256.8-b"	"2.0.111.1"	[28, -1, 1]	256	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [18, 2], [-12, -4]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(2a+18\\right){x}-4a-12"
"270.2-a1"	"270.2-a"	"2.0.111.1"	[28, -1, 1]	270	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [32, 4], [-56, 11]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+32\\right){x}+11a-56"
"270.2-b1"	"270.2-b"	"2.0.111.1"	[28, -1, 1]	270	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [76, -9], [1631, 99]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-9a+76\\right){x}+99a+1631"
"270.3-a1"	"270.3-a"	"2.0.111.1"	[28, -1, 1]	270	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [67, 9], [1730, -99]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(9a+67\\right){x}-99a+1730"
"270.3-b1"	"270.3-b"	"2.0.111.1"	[28, -1, 1]	270	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [36, -6], [-45, -12]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-6a+36\\right){x}-12a-45"
"276.3-a1"	"276.3-a"	"2.0.111.1"	[28, -1, 1]	276	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [34, -5], [-72, -3]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a+34\\right){x}-3a-72"
"276.3-b1"	"276.3-b"	"2.0.111.1"	[28, -1, 1]	276	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [388, -44], [2815, 441]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-44a+388\\right){x}+441a+2815"
"276.4-a1"	"276.4-a"	"2.0.111.1"	[28, -1, 1]	276	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [345, 43], [3257, -442]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(43a+345\\right){x}-442a+3257"
"276.4-b1"	"276.4-b"	"2.0.111.1"	[28, -1, 1]	276	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [29, 5], [-75, 3]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(5a+29\\right){x}+3a-75"
"280.8-a1"	"280.8-a"	"2.0.111.1"	[28, -1, 1]	280	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-305, -59], [2252, 444]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-59a-305\\right){x}+444a+2252"
"280.8-a2"	"280.8-a"	"2.0.111.1"	[28, -1, 1]	280	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [75, -4], [-160, 62]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-4a+75\\right){x}+62a-160"
"280.8-b1"	"280.8-b"	"2.0.111.1"	[28, -1, 1]	280	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [39, -9], [-335, 39]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-9a+39\\right){x}+39a-335"
"280.8-b2"	"280.8-b"	"2.0.111.1"	[28, -1, 1]	280	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [19, 6], [-11, -12]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6a+19\\right){x}-12a-11"
"280.9-a1"	"280.9-a"	"2.0.111.1"	[28, -1, 1]	280	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-379, 46], [1577, -809]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(46a-379\\right){x}-809a+1577"
"280.9-a2"	"280.9-a"	"2.0.111.1"	[28, -1, 1]	280	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [56, -9], [-112, 8]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-9a+56\\right){x}+8a-112"
"280.9-b1"	"280.9-b"	"2.0.111.1"	[28, -1, 1]	280	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [29, 9], [-267, -30]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(9a+29\\right){x}-30a-267"
"280.9-b2"	"280.9-b"	"2.0.111.1"	[28, -1, 1]	280	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [24, -6], [1, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-6a+24\\right){x}+6a+1"
"288.2-a1"	"288.2-a"	"2.0.111.1"	[28, -1, 1]	288	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [5140, 1], [22068, -38996]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+5140\\right){x}-38996a+22068"
"288.2-a2"	"288.2-a"	"2.0.111.1"	[28, -1, 1]	288	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [100, 1], [-108, 316]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+100\\right){x}+316a-108"
"288.2-b1"	"288.2-b"	"2.0.111.1"	[28, -1, 1]	288	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-556, -19], [-3580, -251]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-19a-556\\right){x}-251a-3580"
"288.2-c1"	"288.2-c"	"2.0.111.1"	[28, -1, 1]	288	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [43, -2], [-63, 4]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-2a+43\\right){x}+4a-63"
"288.2-c2"	"288.2-c"	"2.0.111.1"	[28, -1, 1]	288	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [743, 53], [-7336, 1336]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(53a+743\\right){x}+1336a-7336"
"288.2-d1"	"288.2-d"	"2.0.111.1"	[28, -1, 1]	288	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [88, -27], [-204, 39]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-27a+88\\right){x}+39a-204"
"288.2-d2"	"288.2-d"	"2.0.111.1"	[28, -1, 1]	288	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-625, 97], [6532, -1753]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(97a-625\\right){x}-1753a+6532"
"288.2-e1"	"288.2-e"	"2.0.111.1"	[28, -1, 1]	288	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [15, -19], [229, -18]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-19a+15\\right){x}-18a+229"
"288.2-f1"	"288.2-f"	"2.0.111.1"	[28, -1, 1]	288	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [11620, 5469], [3262872, 46311]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(5469a+11620\\right){x}+46311a+3262872"
"288.2-f2"	"288.2-f"	"2.0.111.1"	[28, -1, 1]	288	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [280, 114], [-23712, -687]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(114a+280\\right){x}-687a-23712"
"288.5-a1"	"288.5-a"	"2.0.111.1"	[28, -1, 1]	288	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [5140, 1], [-22068, 38996]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a+5140\\right){x}+38996a-22068"
"288.5-a2"	"288.5-a"	"2.0.111.1"	[28, -1, 1]	288	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [100, 1], [108, -316]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a+100\\right){x}-316a+108"
"288.5-b1"	"288.5-b"	"2.0.111.1"	[28, -1, 1]	288	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [41, 2], [-59, -4]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2a+41\\right){x}-4a-59"
"288.5-b2"	"288.5-b"	"2.0.111.1"	[28, -1, 1]	288	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [796, -53], [-6000, -1336]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-53a+796\\right){x}-1336a-6000"
"288.5-c1"	"288.5-c"	"2.0.111.1"	[28, -1, 1]	288	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-575, 19], [-3831, 251]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(19a-575\\right){x}+251a-3831"
"288.5-d1"	"288.5-d"	"2.0.111.1"	[28, -1, 1]	288	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-4, 17], [211, 17]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(17a-4\\right){x}+17a+211"
"288.5-e1"	"288.5-e"	"2.0.111.1"	[28, -1, 1]	288	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [61, 25], [-165, -40]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(25a+61\\right){x}-40a-165"
"288.5-e2"	"288.5-e"	"2.0.111.1"	[28, -1, 1]	288	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-528, -99], [4779, 1752]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-99a-528\\right){x}+1752a+4779"
"288.5-f1"	"288.5-f"	"2.0.111.1"	[28, -1, 1]	288	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [17089, -5471], [3309183, -46312]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-5471a+17089\\right){x}-46312a+3309183"
"288.5-f2"	"288.5-f"	"2.0.111.1"	[28, -1, 1]	288	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [394, -116], [-24399, 686]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-116a+394\\right){x}+686a-24399"
"289.2-a1"	"289.2-a"	"2.0.111.1"	[28, -1, 1]	289	"0 \\le r \\le 1"	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1, 0], [-14, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-{x}-14"
"289.2-a2"	"289.2-a"	"2.0.111.1"	[28, -1, 1]	289	"0 \\le r \\le 1"	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1, 0], [0, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-{x}"
"289.2-a3"	"289.2-a"	"2.0.111.1"	[28, -1, 1]	289	"0 \\le r \\le 1"	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-6, 0], [-4, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-6{x}-4"
"289.2-a4"	"289.2-a"	"2.0.111.1"	[28, -1, 1]	289	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-91, 0], [-310, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-91{x}-310"
"289.2-b1"	"289.2-b"	"2.0.111.1"	[28, -1, 1]	289	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-75986, 1917], [-10528595, -3522030]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(1917a-75986\\right){x}-3522030a-10528595"
"289.2-b2"	"289.2-b"	"2.0.111.1"	[28, -1, 1]	289	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [20384, 13417], [14830655, -3472820]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(13417a+20384\\right){x}-3472820a+14830655"
"289.2-b3"	"289.2-b"	"2.0.111.1"	[28, -1, 1]	289	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-49406, 13627], [1172500, -1749546]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(13627a-49406\\right){x}-1749546a+1172500"
"289.2-c1"	"289.2-c"	"2.0.111.1"	[28, -1, 1]	289	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [33801, -13417], [11357835, 3472820]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-13417a+33801\\right){x}+3472820a+11357835"
"289.2-c2"	"289.2-c"	"2.0.111.1"	[28, -1, 1]	289	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-74069, -1917], [-14050625, 3522030]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-1917a-74069\\right){x}+3522030a-14050625"
"289.2-c3"	"289.2-c"	"2.0.111.1"	[28, -1, 1]	289	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-35779, -13627], [-577046, 1749546]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-13627a-35779\\right){x}+1749546a-577046"
"289.2-d1"	"289.2-d"	"2.0.111.1"	[28, -1, 1]	289	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-6, 0], [377, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-6{x}+377"
"289.2-d2"	"289.2-d"	"2.0.111.1"	[28, -1, 1]	289	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-6, 0], [-1, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-6{x}-1"
"289.2-d3"	"289.2-d"	"2.0.111.1"	[28, -1, 1]	289	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-51, 0], [152, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-51{x}+152"
"289.2-d4"	"289.2-d"	"2.0.111.1"	[28, -1, 1]	289	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-816, 0], [9179, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-816{x}+9179"
"294.1-a1"	"294.1-a"	"2.0.111.1"	[28, -1, 1]	294	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 1], [-67, -10], [449, 84]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-10a-67\\right){x}+84a+449"
"294.1-b1"	"294.1-b"	"2.0.111.1"	[28, -1, 1]	294	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [-7, -3], [14, 2]]	"{y}^2+a{y}={x}^3+a{x}^2+\\left(-3a-7\\right){x}+2a+14"
"294.6-a1"	"294.6-a"	"2.0.111.1"	[28, -1, 1]	294	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [-10, 3], [16, -3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a-10\\right){x}-3a+16"
"294.6-b1"	"294.6-b"	"2.0.111.1"	[28, -1, 1]	294	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [1, 1], [-76, 8], [533, -85]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(8a-76\\right){x}-85a+533"
"300.4-a1"	"300.4-a"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [630, 60], [-4620, 1080]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(60a+630\\right){x}+1080a-4620"
"300.4-b1"	"300.4-b"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-21, 2], [5, 8]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2a-21\\right){x}+8a+5"
"300.4-b2"	"300.4-b"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [774, -58], [-4924, -1636]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-58a+774\\right){x}-1636a-4924"
"300.4-c1"	"300.4-c"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [69, 207], [11394, 1422]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(207a+69\\right){x}+1422a+11394"
"300.4-c2"	"300.4-c"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-1, 202], [11753, 815]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(202a-1\\right){x}+815a+11753"
"300.4-d1"	"300.4-d"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [315, -86], [4705, -142]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-86a+315\\right){x}-142a+4705"
"300.4-d2"	"300.4-d"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [0, 4], [-20, -7]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+4a{x}-7a-20"
"300.4-e1"	"300.4-e"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [35, -10], [-167, 5]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-10a+35\\right){x}+5a-167"
"300.4-e2"	"300.4-e"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [0, 0], [8, 0]]	"{y}^2+{x}{y}+a{y}={x}^3+8"
"300.4-f1"	"300.4-f"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [625, 1867], [-307449, -38415]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(1867a+625\\right){x}-38415a-307449"
"300.4-f2"	"300.4-f"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-6114, 672], [-143073, 37379]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(672a-6114\\right){x}+37379a-143073"
"300.4-g1"	"300.4-g"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-107, 10], [363, -108]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(10a-107\\right){x}-108a+363"
"300.4-g2"	"300.4-g"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [7048, -530], [111171, 38205]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-530a+7048\\right){x}+38205a+111171"
"300.4-h1"	"300.4-h"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [5758, 543], [140133, -35454]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(543a+5758\\right){x}-35454a+140133"
"300.5-a1"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-14, 0], [-64, 0]]	"{y}^2+{x}{y}+{y}={x}^3-14{x}-64"
"300.5-a2"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [1, 0], [2, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}+2"
"300.5-a3"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-454, 0], [-544, 0]]	"{y}^2+{x}{y}+{y}={x}^3-454{x}-544"
"300.5-a4"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-69, 0], [-194, 0]]	"{y}^2+{x}{y}+{y}={x}^3-69{x}-194"
"300.5-a5"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-19, 0], [26, 0]]	"{y}^2+{x}{y}+{y}={x}^3-19{x}+26"
"300.5-a6"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-334, 0], [-2368, 0]]	"{y}^2+{x}{y}+{y}={x}^3-334{x}-2368"
"300.5-a7"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-289, 0], [1862, 0]]	"{y}^2+{x}{y}+{y}={x}^3-289{x}+1862"
"300.5-a8"	"300.5-a"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-5334, 0], [-150368, 0]]	"{y}^2+{x}{y}+{y}={x}^3-5334{x}-150368"
"300.5-b1"	"300.5-b"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [112, 3], [-808, 131]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(3a+112\\right){x}+131a-808"
"300.5-b2"	"300.5-b"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [17, 82], [-2757, -336]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(82a+17\\right){x}-336a-2757"
"300.5-b3"	"300.5-b"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [2, -7], [24, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-7a+2\\right){x}+3a+24"
"300.5-b4"	"300.5-b"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-11, -1], [9, -1]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-a-11\\right){x}-a+9"
"300.5-c1"	"300.5-c"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [42982, 16378], [211404, -153609]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(16378a+42982\\right){x}-153609a+211404"
"300.5-c2"	"300.5-c"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-10778, -4102], [-32308, -12297]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(-4102a-10778\\right){x}-12297a-32308"
"300.5-d1"	"300.5-d"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [911, -254], [7173, -8196]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-254a+911\\right){x}-8196a+7173"
"300.5-e1"	"300.5-e"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [320, 49], [2540, -277]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(49a+320\\right){x}-277a+2540"
"300.5-e2"	"300.5-e"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [71, -157], [-6931, 1188]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-157a+71\\right){x}+1188a-6931"
"300.5-e3"	"300.5-e"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-29, -7], [-311, 8]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-7a-29\\right){x}+8a-311"
"300.5-e4"	"300.5-e"	"2.0.111.1"	[28, -1, 1]	300	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-24, 7], [8, 17]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(7a-24\\right){x}+17a+8"
"300.5-f1"	"300.5-f"	"2.0.111.1"	[28, -1, 1]	300	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [32273, 12299], [1674345, -4347525]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(12299a+32273\\right){x}-4347525a+1674345"
"300.5-f2"	"300.5-f"	"2.0.111.1"	[28, -1, 1]	300	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-2011762, 1409954], [-3348435516, -1309650132]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1409954a-2011762\\right){x}-1309650132a-3348435516"
"300.5-f3"	"300.5-f"	"2.0.111.1"	[28, -1, 1]	300	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [6915653, 458204], [4408858749, -1333420716]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(458204a+6915653\\right){x}-1333420716a+4408858749"
"300.5-g1"	"300.5-g"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [99, -83], [-3093, 335]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-83a+99\\right){x}+335a-3093"
"300.5-g2"	"300.5-g"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [144, -18], [-512, -2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-18a+144\\right){x}-2a-512"
"300.5-g3"	"300.5-g"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [24, -8], [32, 6]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-8a+24\\right){x}+6a+32"
"300.5-g4"	"300.5-g"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-12, 1], [8, 1]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(a-12\\right){x}+a+8"
"300.5-h1"	"300.5-h"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [59360, -16378], [57795, 153609]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-16378a+59360\\right){x}+153609a+57795"
"300.5-h2"	"300.5-h"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-14880, 4102], [-44605, 12297]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(4102a-14880\\right){x}+12297a-44605"
"300.5-i1"	"300.5-i"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [657, 254], [-1023, 8196]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(254a+657\\right){x}+8196a-1023"
"300.5-j1"	"300.5-j"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-86, 156], [-5743, -1189]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(156a-86\\right){x}-1189a-5743"
"300.5-j2"	"300.5-j"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [369, -49], [2263, 277]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-49a+369\\right){x}+277a+2263"
"300.5-j3"	"300.5-j"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-36, 6], [-303, -9]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(6a-36\\right){x}-9a-303"
"300.5-j4"	"300.5-j"	"2.0.111.1"	[28, -1, 1]	300	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-17, -8], [25, -18]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-8a-17\\right){x}-18a+25"
"300.5-k1"	"300.5-k"	"2.0.111.1"	[28, -1, 1]	300	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [44570, -12297], [-2717751, 4359823]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-12297a+44570\\right){x}+4359823a-2717751"
"300.5-k2"	"300.5-k"	"2.0.111.1"	[28, -1, 1]	300	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [7373855, -458202], [3068064177, 1333878919]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-458202a+7373855\\right){x}+1333878919a+3068064177"
"300.5-k3"	"300.5-k"	"2.0.111.1"	[28, -1, 1]	300	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-601810, -1409952], [-4657483839, 1311060085]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1409952a-601810\\right){x}+1311060085a-4657483839"
"300.5-l1"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[12]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-122, 0], [1721, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-122{x}+1721"
"300.5-l2"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [13, 0], [-61, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+13{x}-61"
"300.5-l3"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-4082, 0], [14681, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-4082{x}+14681"
"300.5-l4"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-617, 0], [5231, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-617{x}+5231"
"300.5-l5"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-167, 0], [-709, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-167{x}-709"
"300.5-l6"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[2, 6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-3002, 0], [63929, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-3002{x}+63929"
"300.5-l7"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-2597, 0], [-50281, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-2597{x}-50281"
"300.5-l8"	"300.5-l"	"2.0.111.1"	[28, -1, 1]	300	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-48002, 0], [4059929, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-48002{x}+4059929"
"300.6-a1"	"300.6-a"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [691, -61], [-3539, -1081]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-61a+691\\right){x}-1081a-3539"
"300.6-b1"	"300.6-b"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [25, 9], [-162, -6]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(9a+25\\right){x}-6a-162"
"300.6-b2"	"300.6-b"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [0, -1], [8, -1]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}-a+8"
"300.6-c1"	"300.6-c"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [2493, -1868], [-345863, 38414]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-1868a+2493\\right){x}+38414a-345863"
"300.6-c2"	"300.6-c"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-5443, -670], [-100251, -36708]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-670a-5443\\right){x}-36708a-100251"
"300.6-d1"	"300.6-d"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-96, -11], [256, 107]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-11a-96\\right){x}+107a+256"
"300.6-d2"	"300.6-d"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [6519, 529], [149377, -38206]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(529a+6519\\right){x}-38206a+149377"
"300.6-e1"	"300.6-e"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-20, 0], [-7, -9]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2-20{x}-9a-7"
"300.6-e2"	"300.6-e"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [715, 60], [-5845, 1695]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(60a+715\\right){x}+1695a-5845"
"300.6-f1"	"300.6-f"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [277, -208], [12817, -1423]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-208a+277\\right){x}-1423a+12817"
"300.6-f2"	"300.6-f"	"2.0.111.1"	[28, -1, 1]	300	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [228, -201], [12368, -614]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-201a+228\\right){x}-614a+12368"
"300.6-g1"	"300.6-g"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [229, 85], [4563, 141]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(85a+229\\right){x}+141a+4563"
"300.6-g2"	"300.6-g"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [4, -5], [-27, 6]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a+4\\right){x}+6a-27"
"300.6-h1"	"300.6-h"	"2.0.111.1"	[28, -1, 1]	300	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [6301, -543], [104679, 35454]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-543a+6301\\right){x}+35454a+104679"
"320.1-a1"	"320.1-a"	"2.0.111.1"	[28, -1, 1]	320	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [5, 5], [139, -17]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(5a+5\\right){x}-17a+139"
"320.1-b1"	"320.1-b"	"2.0.111.1"	[28, -1, 1]	320	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [10, -5], [-26, 16]]	"{y}^2+a{y}={x}^3+a{x}^2+\\left(-5a+10\\right){x}+16a-26"
"320.13-a1"	"320.13-a"	"2.0.111.1"	[28, -1, 1]	320	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [2, 0], [6, -1]]	"{y}^2+\\left(a+1\\right){y}={x}^3+2{x}-a+6"
"320.13-b1"	"320.13-b"	"2.0.111.1"	[28, -1, 1]	320	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [18, 0], [27, 6]]	"{y}^2+\\left(a+1\\right){y}={x}^3+18{x}+6a+27"
"320.14-a1"	"320.14-a"	"2.0.111.1"	[28, -1, 1]	320	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [10, -5], [122, 16]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-5a+10\\right){x}+16a+122"
"320.14-b1"	"320.14-b"	"2.0.111.1"	[28, -1, 1]	320	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [5, 5], [-10, -17]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(5a+5\\right){x}-17a-10"
"320.2-a1"	"320.2-a"	"2.0.111.1"	[28, -1, 1]	320	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [18, 0], [34, -7]]	"{y}^2+a{y}={x}^3+18{x}-7a+34"
"320.2-b1"	"320.2-b"	"2.0.111.1"	[28, -1, 1]	320	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [2, 0], [6, 0]]	"{y}^2+a{y}={x}^3+2{x}+6"
"322.3-a1"	"322.3-a"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [622, 1], [-624, -1157]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+622\\right){x}-1157a-624"
"322.3-b1"	"322.3-b"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [-152, 262], [-14134, -1266]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(262a-152\\right){x}-1266a-14134"
"322.3-b2"	"322.3-b"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [163, -53], [-1912, 183]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-53a+163\\right){x}+183a-1912"
"322.3-b3"	"322.3-b"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [12313, -4013], [-1392160, 38640]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-4013a+12313\\right){x}+38640a-1392160"
"322.3-c1"	"322.3-c"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [-27, 21], [83, -40]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(21a-27\\right){x}-40a+83"
"322.3-c2"	"322.3-c"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [8, -14], [167, 23]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-14a+8\\right){x}+23a+167"
"322.3-c3"	"322.3-c"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [1358, -454], [55371, 672]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-454a+1358\\right){x}+672a+55371"
"322.3-d1"	"322.3-d"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 1], [1376, 642], [76092, 1339]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+a{x}^2+\\left(642a+1376\\right){x}+1339a+76092"
"322.6-a1"	"322.6-a"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [623, -1], [-1781, 1157]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-a+623\\right){x}+1157a-1781"
"322.6-b1"	"322.6-b"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [111, 52], [-1729, -183]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(52a+111\\right){x}-183a-1729"
"322.6-b2"	"322.6-b"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [111, -263], [-15400, 1266]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-263a+111\\right){x}+1266a-15400"
"322.6-b3"	"322.6-b"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [8301, 4012], [-1353520, -38640]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4012a+8301\\right){x}-38640a-1353520"
"322.6-c1"	"322.6-c"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [23, 0], [8, -1]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+23{x}-a+8"
"322.6-c2"	"322.6-c"	"2.0.111.1"	[28, -1, 1]	322	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [23, -35], [841, 27]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-35a+23\\right){x}+27a+841"
"322.6-c3"	"322.6-c"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [933, 440], [43541, 700]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(440a+933\\right){x}+700a+43541"
"322.6-d1"	"322.6-d"	"2.0.111.1"	[28, -1, 1]	322	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [1, 1], [2046, -657], [93571, 692]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-657a+2046\\right){x}+692a+93571"
"324.1-a1"	"324.1-a"	"2.0.111.1"	[28, -1, 1]	324	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 1], [0, 0], [8, -1]]	"{y}^2+a{y}={x}^3-a+8"
"324.1-a2"	"324.1-a"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [0, 1], [0, 0], [-55, -1]]	"{y}^2+a{y}={x}^3-a-55"
"324.2-a1"	"324.2-a"	"2.0.111.1"	[28, -1, 1]	324	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-3, 0], [3, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-3{x}+3"
"324.2-a2"	"324.2-a"	"2.0.111.1"	[28, -1, 1]	324	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-123, 0], [-667, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-123{x}-667"
"324.2-a3"	"324.2-a"	"2.0.111.1"	[28, -1, 1]	324	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [12, 0], [8, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+12{x}+8"
"324.2-b1"	"324.2-b"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-16620, -6332], [-222692, 559559]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-6332a-16620\\right){x}+559559a-222692"
"324.2-b2"	"324.2-b"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [12465, -14117], [7583785, -47122]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-14117a+12465\\right){x}-47122a+7583785"
"324.2-b3"	"324.2-b"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-64920, -5867], [-7550180, 1751]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-5867a-64920\\right){x}+1751a-7550180"
"324.2-c1"	"324.2-c"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [90, -59], [-1892, 101]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-59a+90\\right){x}+101a-1892"
"324.2-c2"	"324.2-c"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-36, 9], [180, -27]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(9a-36\\right){x}-27a+180"
"324.2-d1"	"324.2-d"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-9, 1], [1, 2]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(a-9\\right){x}+2a+1"
"324.2-d2"	"324.2-d"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-69, -14], [177, 74]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-14a-69\\right){x}+74a+177"
"324.2-e1"	"324.2-e"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [2811, 466], [-85775, 9206]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(466a+2811\\right){x}+9206a-85775"
"324.2-e2"	"324.2-e"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-3474, -284], [74572, 9929]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-284a-3474\\right){x}+9929a+74572"
"324.2-e3"	"324.2-e"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-114, 31], [-104, 227]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(31a-114\\right){x}+227a-104"
"324.2-f1"	"324.2-f"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-3758, 283], [84501, -9930]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(283a-3758\\right){x}-9930a+84501"
"324.2-f2"	"324.2-f"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [3277, -467], [-76569, -9207]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-467a+3277\\right){x}-9207a-76569"
"324.2-f3"	"324.2-f"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-83, -32], [123, -228]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-32a-83\\right){x}-228a+123"
"324.2-g1"	"324.2-g"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-83, 13], [251, -75]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(13a-83\\right){x}-75a+251"
"324.2-g2"	"324.2-g"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-8, -2], [3, -3]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-2a-8\\right){x}-3a+3"
"324.2-h1"	"324.2-h"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-27, -9], [153, 27]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-9a-27\\right){x}+27a+153"
"324.2-h2"	"324.2-h"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [31, 58], [-1791, -102]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(58a+31\\right){x}-102a-1791"
"324.2-i1"	"324.2-i"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-22952, 6331], [336867, -559560]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(6331a-22952\\right){x}-559560a+336867"
"324.2-i2"	"324.2-i"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-70787, 5866], [-7548429, -1752]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(5866a-70787\\right){x}-1752a-7548429"
"324.2-i3"	"324.2-i"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-1652, 14116], [7536663, 47121]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(14116a-1652\\right){x}+47121a+7536663"
"324.2-j1"	"324.2-j"	"2.0.111.1"	[28, -1, 1]	324	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-29, 0], [-53, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-29{x}-53"
"324.2-j2"	"324.2-j"	"2.0.111.1"	[28, -1, 1]	324	1	[9]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-14, 0], [29, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-14{x}+29"
"324.2-j3"	"324.2-j"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [1, 0], [-1, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+{x}-1"
"324.3-a1"	"324.3-a"	"2.0.111.1"	[28, -1, 1]	324	1	[]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 1], [0, 0], [7, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3+7"
"324.3-a2"	"324.3-a"	"2.0.111.1"	[28, -1, 1]	324	1	[3]	-3	"1.2.B.2.1a"	[[0, 0], [0, 0], [1, 1], [0, 0], [-56, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3-56"
"333.1-a1"	"333.1-a"	"2.0.111.1"	[28, -1, 1]	333	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [30, -6], [-61, 9]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-6a+30\\right){x}+9a-61"
"333.1-a2"	"333.1-a"	"2.0.111.1"	[28, -1, 1]	333	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [24, 6], [-52, -9]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a+24\\right){x}-9a-52"
"333.1-a3"	"333.1-a"	"2.0.111.1"	[28, -1, 1]	333	2	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [1, 0], [-2, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+{x}-2"
"333.1-a4"	"333.1-a"	"2.0.111.1"	[28, -1, 1]	333	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-14, 0], [-14, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-14{x}-14"
"333.1-b1"	"333.1-b"	"2.0.111.1"	[28, -1, 1]	333	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [129, 12], [452, -108]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(12a+129\\right){x}-108a+452"
"333.1-b2"	"333.1-b"	"2.0.111.1"	[28, -1, 1]	333	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [141, -12], [344, 108]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-12a+141\\right){x}+108a+344"
"333.1-b3"	"333.1-b"	"2.0.111.1"	[28, -1, 1]	333	2	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [12, 0], [35, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+12{x}+35"
"333.1-b4"	"333.1-b"	"2.0.111.1"	[28, -1, 1]	333	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-123, 0], [494, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-123{x}+494"
"336.1-a1"	"336.1-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-19, -1], [30, 6]]	"{y}^2={x}^3-a{x}^2+\\left(-a-19\\right){x}+6a+30"
"336.1-a2"	"336.1-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-1, -3], [6, 1]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3a-1\\right){x}+a+6"
"336.1-b1"	"336.1-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [48, -11], [-380, 155]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-11a+48\\right){x}+155a-380"
"336.1-b2"	"336.1-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [35, 16], [-122, -55]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(16a+35\\right){x}-55a-122"
"336.10-a1"	"336.10-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-20, 1], [36, -6]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(a-20\\right){x}-6a+36"
"336.10-a2"	"336.10-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [8, -11], [82, 7]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-11a+8\\right){x}+7a+82"
"336.10-b1"	"336.10-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [9, 12], [-216, -144]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(12a+9\\right){x}-144a-216"
"336.10-b2"	"336.10-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [51, -18], [-177, 54]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-18a+51\\right){x}+54a-177"
"336.2-a1"	"336.2-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-8, 0], [7, 1]]	"{y}^2={x}^3-a{x}^2-8{x}+a+7"
"336.2-a2"	"336.2-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [152, 25], [-1028, 4]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(25a+152\\right){x}+4a-1028"
"336.2-b1"	"336.2-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [43, 4], [-84, 17]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a+43\\right){x}+17a-84"
"336.2-b2"	"336.2-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [73, -36], [798, -17]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-36a+73\\right){x}-17a+798"
"336.3-a1"	"336.3-a"	"2.0.111.1"	[28, -1, 1]	336	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-738, 174], [-3491, 2469]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(174a-738\\right){x}+2469a-3491"
"336.3-a2"	"336.3-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-4156, 1481], [-57652, -62996]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1481a-4156\\right){x}-62996a-57652"
"336.3-a3"	"336.3-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [1064, 41], [10028, -4172]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(41a+1064\\right){x}-4172a+10028"
"336.3-a4"	"336.3-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [471, -7], [-899, 575]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-7a+471\\right){x}+575a-899"
"336.3-b1"	"336.3-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [69, 31], [1014, 34]]	"{y}^2={x}^3+{x}^2+\\left(31a+69\\right){x}+34a+1014"
"336.3-b2"	"336.3-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-4571, -1284], [73598, 60851]]	"{y}^2+a{x}{y}={x}^3+\\left(-1284a-4571\\right){x}+60851a+73598"
"336.3-b3"	"336.3-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-791, 156], [-10318, 4187]]	"{y}^2+a{x}{y}={x}^3+\\left(156a-791\\right){x}+4187a-10318"
"336.3-b4"	"336.3-b"	"2.0.111.1"	[28, -1, 1]	336	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [1140, -497], [58036, -1711]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-497a+1140\\right){x}-1711a+58036"
"336.4-a1"	"336.4-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-752, 132], [7904, -2884]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(132a-752\\right){x}-2884a+7904"
"336.4-a2"	"336.4-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-172, -28], [-480, -240]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-28a-172\\right){x}-240a-480"
"336.4-a3"	"336.4-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [16, 0], [0, 0]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+16{x}"
"336.4-a4"	"336.4-a"	"2.0.111.1"	[28, -1, 1]	336	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [241, 80], [3084, -98]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(80a+241\\right){x}-98a+3084"
"336.4-b1"	"336.4-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-184, -186], [-3604, 2932]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-186a-184\\right){x}+2932a-3604"
"336.4-b2"	"336.4-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [236, -26], [596, 416]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-26a+236\\right){x}+416a+596"
"336.4-b3"	"336.4-b"	"2.0.111.1"	[28, -1, 1]	336	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-68, -15], [-128, -79]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-15a-68\\right){x}-79a-128"
"336.4-b4"	"336.4-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [85, -1], [-28, -56]]	"{y}^2={x}^3-{x}^2+\\left(-a+85\\right){x}-56a-28"
"336.7-a1"	"336.7-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-620, -132], [5020, 2884]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-132a-620\\right){x}+2884a+5020"
"336.7-a2"	"336.7-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-200, 28], [-720, 240]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(28a-200\\right){x}+240a-720"
"336.7-a3"	"336.7-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [16, 0], [0, 0]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+16{x}"
"336.7-a4"	"336.7-a"	"2.0.111.1"	[28, -1, 1]	336	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [307, -95], [5436, 324]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-95a+307\\right){x}+324a+5436"
"336.7-b1"	"336.7-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-384, 173], [-5684, -3116]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(173a-384\\right){x}-3116a-5684"
"336.7-b2"	"336.7-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [196, 13], [480, -180]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(13a+196\\right){x}-180a+480"
"336.7-b3"	"336.7-b"	"2.0.111.1"	[28, -1, 1]	336	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-83, 13], [-207, 78]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(13a-83\\right){x}+78a-207"
"336.7-b4"	"336.7-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [84, 1], [-84, 56]]	"{y}^2={x}^3-{x}^2+\\left(a+84\\right){x}+56a-84"
"336.8-a1"	"336.8-a"	"2.0.111.1"	[28, -1, 1]	336	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-564, -176], [-1022, -2470]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-176a-564\\right){x}-2470a-1022"
"336.8-a2"	"336.8-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-2690, -1494], [-76336, 60320]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-1494a-2690\\right){x}+60320a-76336"
"336.8-a3"	"336.8-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [1090, -54], [6068, 5276]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-54a+1090\\right){x}+5276a+6068"
"336.8-a4"	"336.8-a"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [436, 8], [112, -568]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(8a+436\\right){x}-568a+112"
"336.8-b1"	"336.8-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [100, -31], [1048, -34]]	"{y}^2={x}^3+{x}^2+\\left(-31a+100\\right){x}-34a+1048"
"336.8-b2"	"336.8-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-5855, 1284], [134449, -60851]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(1284a-5855\\right){x}-60851a+134449"
"336.8-b3"	"336.8-b"	"2.0.111.1"	[28, -1, 1]	336	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-635, -156], [-6131, -4187]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-156a-635\\right){x}-4187a-6131"
"336.8-b4"	"336.8-b"	"2.0.111.1"	[28, -1, 1]	336	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [655, 483], [41921, 2366]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(483a+655\\right){x}+2366a+41921"
"336.9-a1"	"336.9-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-8, 0], [8, -1]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2-8{x}-a+8"
"336.9-a2"	"336.9-a"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [176, -25], [-848, -29]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-25a+176\\right){x}-29a-848"
"336.9-b1"	"336.9-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [19, -3], [-48, -21]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-3a+19\\right){x}-21a-48"
"336.9-b2"	"336.9-b"	"2.0.111.1"	[28, -1, 1]	336	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [37, 34], [781, 16]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(34a+37\\right){x}+16a+781"
"345.1-a1"	"345.1-a"	"2.0.111.1"	[28, -1, 1]	345	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [4398, -774], [-149400, -11979]]	"{y}^2+{y}={x}^3+\\left(-774a+4398\\right){x}-11979a-149400"
"345.1-a2"	"345.1-a"	"2.0.111.1"	[28, -1, 1]	345	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [348, 36], [-2547, 495]]	"{y}^2+{y}={x}^3+\\left(36a+348\\right){x}+495a-2547"
"345.1-b1"	"345.1-b"	"2.0.111.1"	[28, -1, 1]	345	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [489, -86], [5696, 415]]	"{y}^2+{y}={x}^3+{x}^2+\\left(-86a+489\\right){x}+415a+5696"
"345.1-b2"	"345.1-b"	"2.0.111.1"	[28, -1, 1]	345	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [39, 4], [107, -17]]	"{y}^2+{y}={x}^3+{x}^2+\\left(4a+39\\right){x}-17a+107"
"345.4-a1"	"345.4-a"	"2.0.111.1"	[28, -1, 1]	345	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [3624, 774], [-161379, 11979]]	"{y}^2+{y}={x}^3+\\left(774a+3624\\right){x}+11979a-161379"
"345.4-a2"	"345.4-a"	"2.0.111.1"	[28, -1, 1]	345	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [384, -36], [-2052, -495]]	"{y}^2+{y}={x}^3+\\left(-36a+384\\right){x}-495a-2052"
"345.4-b1"	"345.4-b"	"2.0.111.1"	[28, -1, 1]	345	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [403, 86], [6111, -415]]	"{y}^2+{y}={x}^3+{x}^2+\\left(86a+403\\right){x}-415a+6111"
"345.4-b2"	"345.4-b"	"2.0.111.1"	[28, -1, 1]	345	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [43, -4], [90, 17]]	"{y}^2+{y}={x}^3+{x}^2+\\left(-4a+43\\right){x}+17a+90"
"348.3-a1"	"348.3-a"	"2.0.111.1"	[28, -1, 1]	348	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-9, 2], [25, -17]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(2a-9\\right){x}-17a+25"
"348.3-b1"	"348.3-b"	"2.0.111.1"	[28, -1, 1]	348	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-182, 1], [463, 21]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-182\\right){x}+21a+463"
"348.4-a1"	"348.4-a"	"2.0.111.1"	[28, -1, 1]	348	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-182, 1], [666, -21]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-182\\right){x}-21a+666"
"348.4-b1"	"348.4-b"	"2.0.111.1"	[28, -1, 1]	348	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [20, -1], [16, 18]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-a+20\\right){x}+18a+16"
"350.11-a1"	"350.11-a"	"2.0.111.1"	[28, -1, 1]	350	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [1, 1], [856, -53], [-1556, 1827]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-53a+856\\right){x}+1827a-1556"
"350.11-b1"	"350.11-b"	"2.0.111.1"	[28, -1, 1]	350	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [1, 1], [-231, 160], [1335, -1712]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(160a-231\\right){x}-1712a+1335"
"350.2-a1"	"350.2-a"	"2.0.111.1"	[28, -1, 1]	350	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 1], [-70, -162], [-376, 1711]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-{x}^2+\\left(-162a-70\\right){x}+1711a-376"
"350.2-b1"	"350.2-b"	"2.0.111.1"	[28, -1, 1]	350	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 1], [790, 38], [-988, -986]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+a{x}^2+\\left(38a+790\\right){x}-986a-988"
"360.1-a1"	"360.1-a"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [-137, 10], [121, 91]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(10a-137\\right){x}+91a+121"
"360.1-b1"	"360.1-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-669, 14], [8977, -339]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(14a-669\\right){x}-339a+8977"
"360.1-b2"	"360.1-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-9, -1], [217, -9]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-a-9\\right){x}-9a+217"
"360.1-b3"	"360.1-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [36, -1], [-8, 0]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-a+36\\right){x}-8"
"360.1-b4"	"360.1-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-164, -66], [-72, 762]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-66a-164\\right){x}+762a-72"
"360.1-c1"	"360.1-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [45, 8], [-486, -22]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(8a+45\\right){x}-22a-486"
"360.1-c2"	"360.1-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [0, 6], [20, -15]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+6a{x}-15a+20"
"360.1-d1"	"360.1-d"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [4, 1], [-4, 0]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a+4\\right){x}-4"
"360.1-d2"	"360.1-d"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [1, -5], [18, 3]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-5a+1\\right){x}+3a+18"
"360.1-e1"	"360.1-e"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-1840, 782], [-16696, -22577]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(782a-1840\\right){x}-22577a-16696"
"360.1-e2"	"360.1-e"	"2.0.111.1"	[28, -1, 1]	360	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-100, 47], [-196, -452]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(47a-100\\right){x}-452a-196"
"360.1-e3"	"360.1-e"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [32, 10], [-168, -37]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(10a+32\\right){x}-37a-168"
"360.1-e4"	"360.1-e"	"2.0.111.1"	[28, -1, 1]	360	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [432, -9], [-468, -558]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-9a+432\\right){x}-558a-468"
"360.1-f1"	"360.1-f"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-13, 5], [61, -1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(5a-13\\right){x}-a+61"
"360.4-a1"	"360.4-a"	"2.0.111.1"	[28, -1, 1]	360	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [27, 2], [-21, -3]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a+27\\right){x}-3a-21"
"360.4-a2"	"360.4-a"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [407, 37], [-2909, 371]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(37a+407\\right){x}+371a-2909"
"360.4-b1"	"360.4-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [4812, -1836], [399816, -11448]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-1836a+4812\\right){x}-11448a+399816"
"360.4-b2"	"360.4-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-697, -71], [-3084, 3446]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-71a-697\\right){x}+3446a-3084"
"360.4-c1"	"360.4-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-1000, -235], [-3724, -5228]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-235a-1000\\right){x}-5228a-3724"
"360.4-c2"	"360.4-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-45, -10], [370, -99]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-10a-45\\right){x}-99a+370"
"360.4-d1"	"360.4-d"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [7, -5], [-37, 55]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a+7\\right){x}+55a-37"
"360.4-d2"	"360.4-d"	"2.0.111.1"	[28, -1, 1]	360	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [2307, -330], [38343, 5610]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-330a+2307\\right){x}+5610a+38343"
"360.5-a1"	"360.5-a"	"2.0.111.1"	[28, -1, 1]	360	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [29, -4], [-24, 2]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-4a+29\\right){x}+2a-24"
"360.5-a2"	"360.5-a"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [444, -39], [-2538, -372]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-39a+444\\right){x}-372a-2538"
"360.5-b1"	"360.5-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [2976, 1836], [388368, 11448]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1836a+2976\\right){x}+11448a+388368"
"360.5-b2"	"360.5-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-768, 69], [362, -3447]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(69a-768\\right){x}-3447a+362"
"360.5-c1"	"360.5-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-1236, 237], [-7716, 4992]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(237a-1236\\right){x}+4992a-7716"
"360.5-c2"	"360.5-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-55, 8], [271, 98]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(8a-55\\right){x}+98a+271"
"360.5-d1"	"360.5-d"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [2, 5], [18, -55]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(5a+2\\right){x}-55a+18"
"360.5-d2"	"360.5-d"	"2.0.111.1"	[28, -1, 1]	360	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [1977, 330], [43953, -5610]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(330a+1977\\right){x}-5610a+43953"
"360.8-a1"	"360.8-a"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [-128, -8], [84, -101]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-8a-128\\right){x}-101a+84"
"360.8-b1"	"360.8-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-655, -16], [8638, 338]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-16a-655\\right){x}+338a+8638"
"360.8-b2"	"360.8-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-10, -1], [208, 8]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-a-10\\right){x}+8a+208"
"360.8-b3"	"360.8-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [35, -1], [-8, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-a+35\\right){x}-a-8"
"360.8-b4"	"360.8-b"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-230, 64], [690, -763]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(64a-230\\right){x}-763a+690"
"360.8-c1"	"360.8-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [39, -21], [-102, 53]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-21a+39\\right){x}+53a-102"
"360.8-c2"	"360.8-c"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [6, -6], [5, 15]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-6a+6\\right){x}+15a+5"
"360.8-d1"	"360.8-d"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [4, 1], [0, 0]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+4\\right){x}"
"360.8-d2"	"360.8-d"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-18, -6], [49, -1]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-6a-18\\right){x}-a+49"
"360.8-e1"	"360.8-e"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-1058, -782], [-39273, 22577]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-782a-1058\\right){x}+22577a-39273"
"360.8-e2"	"360.8-e"	"2.0.111.1"	[28, -1, 1]	360	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-53, -47], [-648, 452]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-47a-53\\right){x}+452a-648"
"360.8-e3"	"360.8-e"	"2.0.111.1"	[28, -1, 1]	360	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [42, -12], [-205, 36]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-12a+42\\right){x}+36a-205"
"360.8-e4"	"360.8-e"	"2.0.111.1"	[28, -1, 1]	360	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [423, 9], [-1026, 558]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(9a+423\\right){x}+558a-1026"
"360.8-f1"	"360.8-f"	"2.0.111.1"	[28, -1, 1]	360	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-9, -3], [51, -3]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-3a-9\\right){x}-3a+51"
"361.1-a1"	"361.1-a"	"2.0.111.1"	[28, -1, 1]	361	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-6924, 0], [221760, 0]]	"{y}^2+{y}={x}^3-6924{x}+221760"
"361.1-a2"	"361.1-a"	"2.0.111.1"	[28, -1, 1]	361	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-84, 0], [315, 0]]	"{y}^2+{y}={x}^3-84{x}+315"
"361.1-a3"	"361.1-a"	"2.0.111.1"	[28, -1, 1]	361	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [6, 0], [0, 0]]	"{y}^2+{y}={x}^3+6{x}"
"361.1-b1"	"361.1-b"	"2.0.111.1"	[28, -1, 1]	361	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-769, 0], [-8470, 0]]	"{y}^2+{y}={x}^3+{x}^2-769{x}-8470"
"361.1-b2"	"361.1-b"	"2.0.111.1"	[28, -1, 1]	361	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-9, 0], [-15, 0]]	"{y}^2+{y}={x}^3+{x}^2-9{x}-15"
"361.1-b3"	"361.1-b"	"2.0.111.1"	[28, -1, 1]	361	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [1, 0], [0, 0]]	"{y}^2+{y}={x}^3+{x}^2+{x}"
"363.1-a1"	"363.1-a"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [391, 0], [-1092, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+391{x}-1092"
"363.1-a2"	"363.1-a"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-104, 0], [-102, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-104{x}-102"
"363.1-a3"	"363.1-a"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-59, 0], [186, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-59{x}+186"
"363.1-a4"	"363.1-a"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1319, 0], [-18084, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-1319{x}-18084"
"363.1-b1"	"363.1-b"	"2.0.111.1"	[28, -1, 1]	363	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-4530, -1722], [30267, -112968]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-1722a-4530\\right){x}-112968a+30267"
"363.1-b2"	"363.1-b"	"2.0.111.1"	[28, -1, 1]	363	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-81075, -30882], [2148012, -5974128]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-30882a-81075\\right){x}-5974128a+2148012"
"363.1-c1"	"363.1-c"	"2.0.111.1"	[28, -1, 1]	363	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-6252, 1722], [-82701, 112968]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(1722a-6252\\right){x}+112968a-82701"
"363.1-c2"	"363.1-c"	"2.0.111.1"	[28, -1, 1]	363	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-111957, 30882], [-3826116, 5974128]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(30882a-111957\\right){x}+5974128a-3826116"
"363.1-d1"	"363.1-d"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [44, 0], [55, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2+44{x}+55"
"363.1-d2"	"363.1-d"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-11, 0], [0, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-11{x}"
"363.1-d3"	"363.1-d"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-6, 0], [-9, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-6{x}-9"
"363.1-d4"	"363.1-d"	"2.0.111.1"	[28, -1, 1]	363	"0 \\le r \\le 2"	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-146, 0], [621, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-146{x}+621"
"384.2-a1"	"384.2-a"	"2.0.111.1"	[28, -1, 1]	384	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [47, 182], [-11311, -1579]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(182a+47\\right){x}-1579a-11311"
"384.2-b1"	"384.2-b"	"2.0.111.1"	[28, -1, 1]	384	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [895, -112], [7327, 1520]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-112a+895\\right){x}+1520a+7327"
"384.7-a1"	"384.7-a"	"2.0.111.1"	[28, -1, 1]	384	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [215, -197], [-7584, 1611]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-197a+215\\right){x}+1611a-7584"
"384.7-b1"	"384.7-b"	"2.0.111.1"	[28, -1, 1]	384	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [783, 110], [8847, -1521]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(110a+783\\right){x}-1521a+8847"
"392.11-a1"	"392.11-a"	"2.0.111.1"	[28, -1, 1]	392	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [44, -9], [100, 1]]	"{y}^2={x}^3-a{x}^2+\\left(-9a+44\\right){x}+a+100"
"392.11-b1"	"392.11-b"	"2.0.111.1"	[28, -1, 1]	392	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 1], [-110, -78], [1983, -628]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-78a-110\\right){x}-628a+1983"
"392.2-a1"	"392.2-a"	"2.0.111.1"	[28, -1, 1]	392	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [35, 9], [101, -1]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(9a+35\\right){x}-a+101"
"392.2-b1"	"392.2-b"	"2.0.111.1"	[28, -1, 1]	392	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 1], [-188, 78], [1356, 627]]	"{y}^2+a{y}={x}^3-a{x}^2+\\left(78a-188\\right){x}+627a+1356"
"392.5-a1"	"392.5-a"	"2.0.111.1"	[28, -1, 1]	392	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [7863, -371], [39393, 39669]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-371a+7863\\right){x}+39669a+39393"
"392.5-b1"	"392.5-b"	"2.0.111.1"	[28, -1, 1]	392	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [-2688, 1454], [-46396, -38131]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(1454a-2688\\right){x}-38131a-46396"
"392.8-a1"	"392.8-a"	"2.0.111.1"	[28, -1, 1]	392	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [7478, 356], [68884, -31821]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(356a+7478\\right){x}-31821a+68884"
"392.8-b1"	"392.8-b"	"2.0.111.1"	[28, -1, 1]	392	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [-1234, -1456], [-84527, 38130]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-1456a-1234\\right){x}+38130a-84527"
"400.11-a1"	"400.11-a"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [297, -15], [-626, 357]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-15a+297\\right){x}+357a-626"
"400.11-a2"	"400.11-a"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [117, -15], [-410, -3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-15a+117\\right){x}-3a-410"
"400.11-b1"	"400.11-b"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [17, -8], [1, 11]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-8a+17\\right){x}+11a+1"
"400.11-b2"	"400.11-b"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-3, -8], [53, 11]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-8a-3\\right){x}+11a+53"
"400.5-a1"	"400.5-a"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [284, 13], [-268, -358]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(13a+284\\right){x}-358a-268"
"400.5-a2"	"400.5-a"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [104, 13], [-412, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(13a+104\\right){x}+2a-412"
"400.5-b1"	"400.5-b"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [36, -5], [-80, 25]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a+36\\right){x}+25a-80"
"400.5-b2"	"400.5-b"	"2.0.111.1"	[28, -1, 1]	400	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [16, -5], [-8, 5]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a+16\\right){x}+5a-8"
"400.8-a1"	"400.8-a"	"2.0.111.1"	[28, -1, 1]	400	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-36, 0], [-140, 0]]	"{y}^2={x}^3+{x}^2-36{x}-140"
"400.8-a2"	"400.8-a"	"2.0.111.1"	[28, -1, 1]	400	1	[6]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [4, 0], [4, 0]]	"{y}^2={x}^3+{x}^2+4{x}+4"
"400.8-a3"	"400.8-a"	"2.0.111.1"	[28, -1, 1]	400	1	[6]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-1, 0], [0, 0]]	"{y}^2={x}^3+{x}^2-{x}"
"400.8-a4"	"400.8-a"	"2.0.111.1"	[28, -1, 1]	400	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-41, 0], [-116, 0]]	"{y}^2={x}^3+{x}^2-41{x}-116"
"400.8-b1"	"400.8-b"	"2.0.111.1"	[28, -1, 1]	400	1	[6]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-327, 0], [3454, 0]]	"{y}^2={x}^3-327{x}+3454"
"400.8-b2"	"400.8-b"	"2.0.111.1"	[28, -1, 1]	400	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [33, 0], [-74, 0]]	"{y}^2={x}^3+33{x}-74"
"400.8-b3"	"400.8-b"	"2.0.111.1"	[28, -1, 1]	400	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-12, 0], [-11, 0]]	"{y}^2={x}^3-12{x}-11"
"400.8-b4"	"400.8-b"	"2.0.111.1"	[28, -1, 1]	400	1	[6]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-372, 0], [2761, 0]]	"{y}^2={x}^3-372{x}+2761"
"400.8-c1"	"400.8-c"	"2.0.111.1"	[28, -1, 1]	400	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-336, -128], [644, -1584]]	"{y}^2={x}^3+\\left(-128a-336\\right){x}-1584a+644"
"400.8-d1"	"400.8-d"	"2.0.111.1"	[28, -1, 1]	400	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-464, 128], [-940, 1584]]	"{y}^2={x}^3+\\left(128a-464\\right){x}+1584a-940"
"406.3-a1"	"406.3-a"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [3268, -139], [-22100, -11821]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-139a+3268\\right){x}-11821a-22100"
"406.3-a2"	"406.3-a"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [3468, -739], [130616, -17344]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-739a+3468\\right){x}-17344a+130616"
"406.3-a3"	"406.3-a"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [185898, -69279], [95628154, -3372083]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-69279a+185898\\right){x}-3372083a+95628154"
"406.3-b1"	"406.3-b"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [-23, 10], [58, 15]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+\\left(10a-23\\right){x}+15a+58"
"406.3-b2"	"406.3-b"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [17, 0], [-18, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+17{x}-18"
"406.3-c1"	"406.3-c"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [2, -8], [42, 1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-8a+2\\right){x}+a+42"
"406.3-d1"	"406.3-d"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [187, -95], [-4979, 567]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-95a+187\\right){x}+567a-4979"
"406.3-d2"	"406.3-d"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-253, -135], [-6299, -1025]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-135a-253\\right){x}-1025a-6299"
"406.3-d3"	"406.3-d"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-36983, -9045], [-1128689, -1088451]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-9045a-36983\\right){x}-1088451a-1128689"
"406.3-e1"	"406.3-e"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [-310, 80], [1168, -1195]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(80a-310\\right){x}-1195a+1168"
"406.3-e2"	"406.3-e"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [50, -10], [-20, 20]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-10a+50\\right){x}+20a-20"
"406.3-f1"	"406.3-f"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 0], [8, -1], [-7, -11]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-{x}^2+\\left(-a+8\\right){x}-11a-7"
"406.6-a1"	"406.6-a"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [3129, 139], [-37050, 11682]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(139a+3129\\right){x}+11682a-37050"
"406.6-a2"	"406.6-a"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [2729, 739], [110543, 16605]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(739a+2729\\right){x}+16605a+110543"
"406.6-a3"	"406.6-a"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [116619, 69279], [92139452, 3302804]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(69279a+116619\\right){x}+3302804a+92139452"
"406.6-b1"	"406.6-b"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [-12, -11], [73, -15]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-11a-12\\right){x}-15a+73"
"406.6-b2"	"406.6-b"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [18, -1], [-18, 0]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+18\\right){x}-18"
"406.6-c1"	"406.6-c"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [23, -7], [21, 7]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-7a+23\\right){x}+7a+21"
"406.6-d1"	"406.6-d"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [92, 95], [-4412, -567]]	"{y}^2+a{x}{y}={x}^3+\\left(95a+92\\right){x}-567a-4412"
"406.6-d2"	"406.6-d"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-388, 135], [-7324, 1025]]	"{y}^2+a{x}{y}={x}^3+\\left(135a-388\\right){x}+1025a-7324"
"406.6-d3"	"406.6-d"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-46028, 9045], [-2217140, 1088451]]	"{y}^2+a{x}{y}={x}^3+\\left(9045a-46028\\right){x}+1088451a-2217140"
"406.6-e1"	"406.6-e"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [-229, -82], [-27, 1194]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-82a-229\\right){x}+1194a-27"
"406.6-e2"	"406.6-e"	"2.0.111.1"	[28, -1, 1]	406	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [41, 8], [0, -21]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(8a+41\\right){x}-21a"
"406.6-f1"	"406.6-f"	"2.0.111.1"	[28, -1, 1]	406	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [1, 0], [8, 0], [-18, 11]]	"{y}^2+a{x}{y}+{y}={x}^3-a{x}^2+8{x}+11a-18"
"420.4-a1"	"420.4-a"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [557, 509], [53266, 2290]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(509a+557\\right){x}+2290a+53266"
"420.4-a2"	"420.4-a"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [291, 3], [-1592, 105]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+291\\right){x}+105a-1592"
"420.4-b1"	"420.4-b"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [459, -36], [-3240, -324]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-36a+459\\right){x}-324a-3240"
"420.4-b2"	"420.4-b"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [1264, 339], [35428, -1628]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(339a+1264\\right){x}-1628a+35428"
"420.4-c1"	"420.4-c"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [127, -11], [-381, -36]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-11a+127\\right){x}-36a-381"
"420.4-c2"	"420.4-c"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [632, 179], [15033, -75]]	"{y}^2+a{x}{y}={x}^3+\\left(179a+632\\right){x}-75a+15033"
"420.4-d1"	"420.4-d"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [421, 15], [1130, -514]]	"{y}^2={x}^3+a{x}^2+\\left(15a+421\\right){x}-514a+1130"
"420.4-d2"	"420.4-d"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [43, -1], [-32, -3]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-a+43\\right){x}-3a-32"
"420.4-e1"	"420.4-e"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [265, -154], [-8662, 1305]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-154a+265\\right){x}+1305a-8662"
"420.4-e2"	"420.4-e"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-1157, 35], [-13614, 37]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(35a-1157\\right){x}+37a-13614"
"420.4-f1"	"420.4-f"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [80, -6], [-35, 26]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-6a+80\\right){x}+26a-35"
"420.4-f2"	"420.4-f"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [360, -15], [-528, -366]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-15a+360\\right){x}-366a-528"
"420.5-a1"	"420.5-a"	"2.0.111.1"	[28, -1, 1]	420	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [42, -3], [-38, -33]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-3a+42\\right){x}-33a-38"
"420.5-b1"	"420.5-b"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-5957, -1343], [128793, 64395]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-1343a-5957\\right){x}+64395a+128793"
"420.5-b2"	"420.5-b"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-77, -23], [609, 99]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-23a-77\\right){x}+99a+609"
"420.5-b3"	"420.5-b"	"2.0.111.1"	[28, -1, 1]	420	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [2128, -368], [48384, 6144]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-368a+2128\\right){x}+6144a+48384"
"420.5-c1"	"420.5-c"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-1, -1], [0, 0]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}"
"420.5-c2"	"420.5-c"	"2.0.111.1"	[28, -1, 1]	420	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [4, 4], [190, -20]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(4a+4\\right){x}-20a+190"
"420.5-c3"	"420.5-c"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-281, 4], [-1820, 43]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(4a-281\\right){x}+43a-1820"
"420.5-d1"	"420.5-d"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-5, -5], [189, -21]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a-5\\right){x}-21a+189"
"420.5-d2"	"420.5-d"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [40, 40], [-4941, 519]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(40a+40\\right){x}+519a-4941"
"420.5-d3"	"420.5-d"	"2.0.111.1"	[28, -1, 1]	420	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-2525, 40], [49329, -1182]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(40a-2525\\right){x}-1182a+49329"
"420.5-e1"	"420.5-e"	"2.0.111.1"	[28, -1, 1]	420	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [-5, -1], [11, 1]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-a-5\\right){x}+a+11"
"420.5-f1"	"420.5-f"	"2.0.111.1"	[28, -1, 1]	420	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [26322, -10742], [-5766327, 268927]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-10742a+26322\\right){x}+268927a-5766327"
"420.5-f2"	"420.5-f"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [282, -122], [-10311, 379]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-122a+282\\right){x}+379a-10311"
"420.5-f3"	"420.5-f"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [15507, 1078], [-479871, 135934]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1078a+15507\\right){x}+135934a-479871"
"420.6-a1"	"420.6-a"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-64, 4], [-104, -56]]	"{y}^2+{x}{y}={x}^3+{x}^2+\\left(4a-64\\right){x}-56a-104"
"420.6-a2"	"420.6-a"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [-70, -3], [188, -12]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-70\\right){x}-12a+188"
"420.6-b1"	"420.6-b"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-23713, -1774], [-1334599, -162276]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-1774a-23713\\right){x}-162276a-1334599"
"420.6-b2"	"420.6-b"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [13097, -83], [18302, 98847]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(-83a+13097\\right){x}+98847a+18302"
"420.6-c1"	"420.6-c"	"2.0.111.1"	[28, -1, 1]	420	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [2219, -3346], [895809, -304176]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-3346a+2219\\right){x}-304176a+895809"
"420.6-c2"	"420.6-c"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-64, 26], [-372, 216]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(26a-64\\right){x}+216a-372"
"420.6-c3"	"420.6-c"	"2.0.111.1"	[28, -1, 1]	420	1	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-2764, -1189], [-33744, 48141]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1189a-2764\\right){x}+48141a-33744"
"420.6-c4"	"420.6-c"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-8341, 809], [272985, -39717]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(809a-8341\\right){x}-39717a+272985"
"420.6-d1"	"420.6-d"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-3375, 536], [-56051, 15103]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(536a-3375\\right){x}+15103a-56051"
"420.6-d2"	"420.6-d"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-6987, 2216], [-40391, -101738]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(2216a-6987\\right){x}-101738a-40391"
"420.6-e1"	"420.6-e"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [14349, 1698], [-882435, 316469]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1698a+14349\\right){x}+316469a-882435"
"420.6-e2"	"420.6-e"	"2.0.111.1"	[28, -1, 1]	420	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [374, 135], [23061, 1183]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(135a+374\\right){x}+1183a+23061"
"420.6-e3"	"420.6-e"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-44716, 270], [3649053, -17555]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(270a-44716\\right){x}-17555a+3649053"
"420.6-e4"	"420.6-e"	"2.0.111.1"	[28, -1, 1]	420	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [909, -1707], [-239835, 42653]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-1707a+909\\right){x}+42653a-239835"
"420.6-f1"	"420.6-f"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [8, -13], [207, 60]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-13a+8\\right){x}+60a+207"
"420.6-f2"	"420.6-f"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [17, 1], [21, -6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+17\\right){x}-6a+21"
"420.7-a1"	"420.7-a"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-60, -4], [-160, 56]]	"{y}^2+{x}{y}={x}^3+{x}^2+\\left(-4a-60\\right){x}+56a-160"
"420.7-a2"	"420.7-a"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [-73, 2], [176, 11]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(2a-73\\right){x}+11a+176"
"420.7-b1"	"420.7-b"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-2812, -549], [-22960, -17915]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-549a-2812\\right){x}-17915a-22960"
"420.7-b2"	"420.7-b"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-4770, -2217], [-142128, 101737]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-2217a-4770\\right){x}+101737a-142128"
"420.7-c1"	"420.7-c"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [16046, -1696], [-582012, -314772]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1696a+16046\\right){x}-314772a-582012"
"420.7-c2"	"420.7-c"	"2.0.111.1"	[28, -1, 1]	420	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [509, -133], [24753, -1317]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-133a+509\\right){x}-1317a+24753"
"420.7-c3"	"420.7-c"	"2.0.111.1"	[28, -1, 1]	420	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-799, 1709], [-196383, -44361]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1709a-799\\right){x}-44361a-196383"
"420.7-c4"	"420.7-c"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-44446, -268], [3587052, 17286]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-268a-44446\\right){x}+17286a+3587052"
"420.7-d1"	"420.7-d"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-25487, 1773], [-1496875, 162275]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(1773a-25487\\right){x}+162275a-1496875"
"420.7-d2"	"420.7-d"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [13014, 83], [117149, -98847]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(83a+13014\\right){x}-98847a+117149"
"420.7-e1"	"420.7-e"	"2.0.111.1"	[28, -1, 1]	420	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-1128, 3348], [590505, 307523]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(3348a-1128\\right){x}+307523a+590505"
"420.7-e2"	"420.7-e"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-39, -26], [-195, -242]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-26a-39\\right){x}-242a-195"
"420.7-e3"	"420.7-e"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-7533, -807], [225735, 38909]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-807a-7533\\right){x}+38909a+225735"
"420.7-e4"	"420.7-e"	"2.0.111.1"	[28, -1, 1]	420	1	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-3954, 1189], [10443, -46952]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(1189a-3954\\right){x}-46952a+10443"
"420.7-f1"	"420.7-f"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [-4, 12], [268, -61]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(12a-4\\right){x}-61a+268"
"420.7-f2"	"420.7-f"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [20, -3], [16, 5]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-3a+20\\right){x}+5a+16"
"420.8-a1"	"420.8-a"	"2.0.111.1"	[28, -1, 1]	420	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [39, 3], [-71, 33]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(3a+39\\right){x}+33a-71"
"420.8-b1"	"420.8-b"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-7272, 1330], [155780, -70338]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1330a-7272\\right){x}-70338a+155780"
"420.8-b2"	"420.8-b"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-72, 10], [260, -162]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(10a-72\\right){x}-162a+260"
"420.8-b3"	"420.8-b"	"2.0.111.1"	[28, -1, 1]	420	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [1788, 355], [44420, -4002]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(355a+1788\\right){x}-4002a+44420"
"420.8-c1"	"420.8-c"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-9, 4], [169, 20]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(4a-9\\right){x}+20a+169"
"420.8-c2"	"420.8-c"	"2.0.111.1"	[28, -1, 1]	420	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [81, -41], [-4421, -520]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-41a+81\\right){x}-520a-4421"
"420.8-c3"	"420.8-c"	"2.0.111.1"	[28, -1, 1]	420	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-2484, -41], [48148, 1181]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-41a-2484\\right){x}+1181a+48148"
"420.8-d1"	"420.8-d"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-1, 0], [1, -1]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}-a+1"
"420.8-d2"	"420.8-d"	"2.0.111.1"	[28, -1, 1]	420	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [9, -5], [171, 19]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-5a+9\\right){x}+19a+171"
"420.8-d3"	"420.8-d"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-276, -5], [-1776, -44]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-5a-276\\right){x}-44a-1776"
"420.8-e1"	"420.8-e"	"2.0.111.1"	[28, -1, 1]	420	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [-5, 0], [13, -2]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2-5{x}-2a+13"
"420.8-f1"	"420.8-f"	"2.0.111.1"	[28, -1, 1]	420	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [15580, 10743], [-5481819, -258186]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(10743a+15580\\right){x}-258186a-5481819"
"420.8-f2"	"420.8-f"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [160, 123], [-9771, -258]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(123a+160\\right){x}-258a-9771"
"420.8-f3"	"420.8-f"	"2.0.111.1"	[28, -1, 1]	420	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [16585, -1077], [-327351, -137013]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-1077a+16585\\right){x}-137013a-327351"
"420.9-a1"	"420.9-a"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [1066, -511], [55556, -2291]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-511a+1066\\right){x}-2291a+55556"
"420.9-a2"	"420.9-a"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [294, -3], [-1487, -105]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-3a+294\\right){x}-105a-1487"
"420.9-b1"	"420.9-b"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [423, 36], [-3564, 324]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(36a+423\\right){x}+324a-3564"
"420.9-b2"	"420.9-b"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [1615, -353], [41844, 3243]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-353a+1615\\right){x}+3243a+41844"
"420.9-c1"	"420.9-c"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [128, -3], [-686, 164]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-3a+128\\right){x}+164a-686"
"420.9-c2"	"420.9-c"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [811, -179], [14958, 75]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-179a+811\\right){x}+75a+14958"
"420.9-d1"	"420.9-d"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [436, -15], [616, 514]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-15a+436\\right){x}+514a+616"
"420.9-d2"	"420.9-d"	"2.0.111.1"	[28, -1, 1]	420	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [42, 1], [-35, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+42\\right){x}+3a-35"
"420.9-e1"	"420.9-e"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [111, 152], [-7357, -1306]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(152a+111\\right){x}-1306a-7357"
"420.9-e2"	"420.9-e"	"2.0.111.1"	[28, -1, 1]	420	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-1150, -34], [-14727, -72]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-34a-1150\\right){x}-72a-14727"
"420.9-f1"	"420.9-f"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [74, 4], [-9, -27]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(4a+74\\right){x}-27a-9"
"420.9-f2"	"420.9-f"	"2.0.111.1"	[28, -1, 1]	420	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [345, 15], [-894, 366]]	"{y}^2={x}^3-a{x}^2+\\left(15a+345\\right){x}+366a-894"
"432.1-a1"	"432.1-a"	"2.0.111.1"	[28, -1, 1]	432	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [20, -7], [-12, 46]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-7a+20\\right){x}+46a-12"
"432.1-b1"	"432.1-b"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [16, -6], [28, 4]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-6a+16\\right){x}+4a+28"
"432.1-c1"	"432.1-c"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [23, 1], [-9, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+23\\right){x}-4a-9"
"432.1-d1"	"432.1-d"	"2.0.111.1"	[28, -1, 1]	432	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [12, 9], [8, -61]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(9a+12\\right){x}-61a+8"
"432.2-a1"	"432.2-a"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-517, -95], [-605, -133]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-95a-517\\right){x}-133a-605"
"432.2-b1"	"432.2-b"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-120, 9], [-164, 18]]	"{y}^2={x}^3+\\left(9a-120\\right){x}+18a-164"
"432.4-a1"	"432.4-a"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-612, 93], [-738, 132]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(93a-612\\right){x}+132a-738"
"432.4-b1"	"432.4-b"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-111, -9], [-146, -18]]	"{y}^2={x}^3+\\left(-9a-111\\right){x}-18a-146"
"432.5-a1"	"432.5-a"	"2.0.111.1"	[28, -1, 1]	432	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [12, 9], [46, -39]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(9a+12\\right){x}-39a+46"
"432.5-b1"	"432.5-b"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-4, -7], [46, -2]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a-4\\right){x}-2a+46"
"432.5-c1"	"432.5-c"	"2.0.111.1"	[28, -1, 1]	432	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [24, -3], [-13, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-3a+24\\right){x}+3a-13"
"432.5-d1"	"432.5-d"	"2.0.111.1"	[28, -1, 1]	432	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [20, -7], [-33, 52]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a+20\\right){x}+52a-33"
"441.1-a1"	"441.1-a"	"2.0.111.1"	[28, -1, 1]	441	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 0], [-72, 33], [-514, -120]]	"{y}^2+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(33a-72\\right){x}-120a-514"
"441.1-a2"	"441.1-a"	"2.0.111.1"	[28, -1, 1]	441	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 0], [-13302, 6753], [698324, 481998]]	"{y}^2+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(6753a-13302\\right){x}+481998a+698324"
"441.1-b1"	"441.1-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [34, -22], [-617, -519]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-22a+34\\right){x}-519a-617"
"441.1-b2"	"441.1-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-911, 458], [-17144, -8166]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(458a-911\\right){x}-8166a-17144"
"441.1-b3"	"441.1-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [83, 321], [18444, 2946]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(321a+83\\right){x}+2946a+18444"
"441.1-b4"	"441.1-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [232, 36], [-1928, 222]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(36a+232\\right){x}+222a-1928"
"441.1-c1"	"441.1-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [40, -2], [120, -5]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-2a+40\\right){x}-5a+120"
"441.1-c2"	"441.1-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-380, 13], [3900, -224]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(13a-380\\right){x}-224a+3900"
"441.1-c3"	"441.1-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [1451, -196], [-18861, -2531]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-196a+1451\\right){x}-2531a-18861"
"441.1-c4"	"441.1-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [16, 4], [39, 0]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(4a+16\\right){x}+39"
"441.1-d1"	"441.1-d"	"2.0.111.1"	[28, -1, 1]	441	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-37, 2], [27, -12]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(2a-37\\right){x}-12a+27"
"441.1-d2"	"441.1-d"	"2.0.111.1"	[28, -1, 1]	441	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-5917, 212], [-176373, 7464]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(212a-5917\\right){x}+7464a-176373"
"441.3-a1"	"441.3-a"	"2.0.111.1"	[28, -1, 1]	441	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 0], [-40, -31], [-594, 152]]	"{y}^2+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-31a-40\\right){x}+152a-594"
"441.3-a2"	"441.3-a"	"2.0.111.1"	[28, -1, 1]	441	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 0], [-6550, -6751], [1186872, -475246]]	"{y}^2+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6751a-6550\\right){x}-475246a+1186872"
"441.3-b1"	"441.3-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [12, 21], [-1136, 518]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(21a+12\\right){x}+518a-1136"
"441.3-b2"	"441.3-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-453, -459], [-25310, 8165]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-459a-453\\right){x}+8165a-25310"
"441.3-b3"	"441.3-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [268, -36], [-1706, -222]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-36a+268\\right){x}-222a-1706"
"441.3-b4"	"441.3-b"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [404, -322], [21390, -2947]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-322a+404\\right){x}-2947a+21390"
"441.3-c1"	"441.3-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [38, 2], [115, 5]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2a+38\\right){x}+5a+115"
"441.3-c2"	"441.3-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-367, -13], [3676, 224]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-13a-367\\right){x}+224a+3676"
"441.3-c3"	"441.3-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [21, -5], [40, -1]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a+21\\right){x}-a+40"
"441.3-c4"	"441.3-c"	"2.0.111.1"	[28, -1, 1]	441	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [1256, 195], [-21391, 2530]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(195a+1256\\right){x}+2530a-21391"
"441.3-d1"	"441.3-d"	"2.0.111.1"	[28, -1, 1]	441	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-36, 0], [51, 12]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2-36{x}+12a+51"
"441.3-d2"	"441.3-d"	"2.0.111.1"	[28, -1, 1]	441	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-5706, -210], [-163203, -7254]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-210a-5706\\right){x}-7254a-163203"
"444.2-a1"	"444.2-a"	"2.0.111.1"	[28, -1, 1]	444	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-182317, 0], [29887645, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-182317{x}+29887645"
"444.2-b1"	"444.2-b"	"2.0.111.1"	[28, -1, 1]	444	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [153, 0], [-4685, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+153{x}-4685"
"444.2-c1"	"444.2-c"	"2.0.111.1"	[28, -1, 1]	444	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [16, 0], [0, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2+16{x}"
"444.2-c2"	"444.2-c"	"2.0.111.1"	[28, -1, 1]	444	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-64, 0], [-80, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-64{x}-80"
"444.2-c3"	"444.2-c"	"2.0.111.1"	[28, -1, 1]	444	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-604, 0], [5428, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-604{x}+5428"
"444.2-c4"	"444.2-c"	"2.0.111.1"	[28, -1, 1]	444	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [184, 1], [-744, 198]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(a+184\\right){x}+198a-744"
"444.2-c5"	"444.2-c"	"2.0.111.1"	[28, -1, 1]	444	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [185, -1], [-546, -198]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-a+185\\right){x}-198a-546"
"444.2-c6"	"444.2-c"	"2.0.111.1"	[28, -1, 1]	444	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-804, 0], [-9108, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-804{x}-9108"
"444.2-d1"	"444.2-d"	"2.0.111.1"	[28, -1, 1]	444	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-1332, 0], [19062, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-1332{x}+19062"
"444.2-d2"	"444.2-d"	"2.0.111.1"	[28, -1, 1]	444	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [18, 0], [108, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+18{x}+108"
"444.2-e1"	"444.2-e"	"2.0.111.1"	[28, -1, 1]	444	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [1, 0], [-46, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}-46"
"444.2-f1"	"444.2-f"	"2.0.111.1"	[28, -1, 1]	444	0	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [139, 0], [141, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+139{x}+141"
"444.2-f2"	"444.2-f"	"2.0.111.1"	[28, -1, 1]	444	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-581, 0], [1581, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-581{x}+1581"
"444.2-f3"	"444.2-f"	"2.0.111.1"	[28, -1, 1]	444	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-5441, 0], [-151995, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-5441{x}-151995"
"444.2-f4"	"444.2-f"	"2.0.111.1"	[28, -1, 1]	444	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [232, 195], [-10796, -923]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(195a+232\\right){x}-923a-10796"
"444.2-f5"	"444.2-f"	"2.0.111.1"	[28, -1, 1]	444	0	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [427, -196], [-11719, 922]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-196a+427\\right){x}+922a-11719"
"444.2-f6"	"444.2-f"	"2.0.111.1"	[28, -1, 1]	444	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-7241, 0], [238677, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-7241{x}+238677"
"444.2-g1"	"444.2-g"	"2.0.111.1"	[28, -1, 1]	444	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [17, 0], [179, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+17{x}+179"
"444.2-h1"	"444.2-h"	"2.0.111.1"	[28, -1, 1]	444	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1640858, 0], [-808607271, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-1640858{x}-808607271"
"444.2-i1"	"444.2-i"	"2.0.111.1"	[28, -1, 1]	444	2	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [13, 0], [1235, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+13{x}+1235"
"444.2-j1"	"444.2-j"	"2.0.111.1"	[28, -1, 1]	444	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-148, 0], [-706, 0]]	"{y}^2+{x}{y}={x}^3-148{x}-706"
"444.2-j2"	"444.2-j"	"2.0.111.1"	[28, -1, 1]	444	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [2, 0], [-4, 0]]	"{y}^2+{x}{y}={x}^3+2{x}-4"
"448.1-a1"	"448.1-a"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [9, 6], [35, -9]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a+9\\right){x}-9a+35"
"448.1-b1"	"448.1-b"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [140, 13], [-626, 58]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(13a+140\\right){x}+58a-626"
"448.1-b2"	"448.1-b"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-5, 53], [1295, 356]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(53a-5\\right){x}+356a+1295"
"448.1-c1"	"448.1-c"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [21, 3], [11, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+21\\right){x}-4a+11"
"448.1-d1"	"448.1-d"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-100, 21], [790, -133]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(21a-100\\right){x}-133a+790"
"448.1-d2"	"448.1-d"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-205, -19], [-701, -358]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-19a-205\\right){x}-358a-701"
"448.14-a1"	"448.14-a"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [15, -6], [26, 9]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-6a+15\\right){x}+9a+26"
"448.14-b1"	"448.14-b"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [153, -13], [-568, -58]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-13a+153\\right){x}-58a-568"
"448.14-b2"	"448.14-b"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [48, -53], [1651, -356]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-53a+48\\right){x}-356a+1651"
"448.14-c1"	"448.14-c"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [24, -5], [7, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-5a+24\\right){x}+3a+7"
"448.14-d1"	"448.14-d"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-79, -23], [657, 132]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-23a-79\\right){x}+132a+657"
"448.14-d2"	"448.14-d"	"2.0.111.1"	[28, -1, 1]	448	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-224, 17], [-1059, 357]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(17a-224\\right){x}+357a-1059"
"448.6-a1"	"448.6-a"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [88, 0], [-144, 100]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+88{x}+100a-144"
"448.6-b1"	"448.6-b"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-4, 3], [4, -3]]	"{y}^2={x}^3-a{x}^2+\\left(3a-4\\right){x}-3a+4"
"448.9-a1"	"448.9-a"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [88, 0], [-44, -100]]	"{y}^2={x}^3-a{x}^2+88{x}-100a-44"
"448.9-b1"	"448.9-b"	"2.0.111.1"	[28, -1, 1]	448	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-1, -3], [1, 3]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-1\\right){x}+3a+1"
"450.1-a1"	"450.1-a"	"2.0.111.1"	[28, -1, 1]	450	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [-485, -305], [-5052, 5562]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-305a-485\\right){x}+5562a-5052"
"450.1-b1"	"450.1-b"	"2.0.111.1"	[28, -1, 1]	450	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [201, -39], [-1614, -100]]	"{y}^2+a{y}={x}^3+\\left(-39a+201\\right){x}-100a-1614"
"450.3-a1"	"450.3-a"	"2.0.111.1"	[28, -1, 1]	450	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [12, -7], [160, 42]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-7a+12\\right){x}+42a+160"
"450.3-b1"	"450.3-b"	"2.0.111.1"	[28, -1, 1]	450	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 1], [-124, -418], [44008, -4714]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-418a-124\\right){x}-4714a+44008"
"450.3-c1"	"450.3-c"	"2.0.111.1"	[28, -1, 1]	450	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-299, -20], [-1173, -391]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-20a-299\\right){x}-391a-1173"
"450.3-d1"	"450.3-d"	"2.0.111.1"	[28, -1, 1]	450	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-239, 13], [2265, -446]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(13a-239\\right){x}-446a+2265"
"450.4-a1"	"450.4-a"	"2.0.111.1"	[28, -1, 1]	450	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [5, 5], [202, -43]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(5a+5\\right){x}-43a+202"
"450.4-b1"	"450.4-b"	"2.0.111.1"	[28, -1, 1]	450	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 1], [-541, 416], [39294, 4713]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(416a-541\\right){x}+4713a+39294"
"450.4-c1"	"450.4-c"	"2.0.111.1"	[28, -1, 1]	450	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-317, 18], [-1563, 390]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(18a-317\\right){x}+390a-1563"
"450.4-d1"	"450.4-d"	"2.0.111.1"	[28, -1, 1]	450	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-226, -13], [1819, 446]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-13a-226\\right){x}+446a+1819"
"450.6-a1"	"450.6-a"	"2.0.111.1"	[28, -1, 1]	450	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [-789, 304], [510, -5562]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(304a-789\\right){x}-5562a+510"
"450.6-b1"	"450.6-b"	"2.0.111.1"	[28, -1, 1]	450	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [162, 39], [-1714, 99]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(39a+162\\right){x}+99a-1714"
"460.5-a1"	"460.5-a"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [143, -57], [-335, 7]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-57a+143\\right){x}+7a-335"
"460.5-a2"	"460.5-a"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [80, -8], [-400, -4]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-8a+80\\right){x}-4a-400"
"460.5-b1"	"460.5-b"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-333, 6], [-197, 47]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a-333\\right){x}+47a-197"
"460.5-b2"	"460.5-b"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [404, 33], [2913, -743]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(33a+404\\right){x}-743a+2913"
"460.6-a1"	"460.6-a"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-48, -4], [-52, -12]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-4a-48\\right){x}-12a-52"
"460.6-b1"	"460.6-b"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [4, -1], [-154, -19]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-a+4\\right){x}-19a-154"
"460.6-b2"	"460.6-b"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-151, 18], [1681, -246]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(18a-151\\right){x}-246a+1681"
"460.6-c1"	"460.6-c"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-31, 4], [145, -55]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(4a-31\\right){x}-55a+145"
"460.6-d1"	"460.6-d"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-341, -23], [1965, 367]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-23a-341\\right){x}+367a+1965"
"460.6-e1"	"460.6-e"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-210, 28], [935, -223]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(28a-210\\right){x}-223a+935"
"460.6-e2"	"460.6-e"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [137, 15], [-1627, 191]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(15a+137\\right){x}+191a-1627"
"460.6-f1"	"460.6-f"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-317, 67], [-1883, 630]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(67a-317\\right){x}+630a-1883"
"460.7-a1"	"460.7-a"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-52, 4], [-64, 12]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a-52\\right){x}+12a-64"
"460.7-b1"	"460.7-b"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-364, 23], [2332, -367]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(23a-364\\right){x}-367a+2332"
"460.7-c1"	"460.7-c"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-181, -29], [713, 222]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-29a-181\\right){x}+222a+713"
"460.7-c2"	"460.7-c"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [152, -15], [-1436, -191]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-15a+152\\right){x}-191a-1436"
"460.7-d1"	"460.7-d"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [32, -14], [-8, 36]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-14a+32\\right){x}+36a-8"
"460.7-d2"	"460.7-d"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-133, -19], [1435, 245]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-19a-133\\right){x}+245a+1435"
"460.7-e1"	"460.7-e"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-27, -4], [90, 55]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-4a-27\\right){x}+55a+90"
"460.7-f1"	"460.7-f"	"2.0.111.1"	[28, -1, 1]	460	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-250, -68], [-1253, -631]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-68a-250\\right){x}-631a-1253"
"460.8-a1"	"460.8-a"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-327, -6], [-150, -47]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-6a-327\\right){x}-47a-150"
"460.8-a2"	"460.8-a"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [437, -33], [2170, 743]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-33a+437\\right){x}+743a+2170"
"460.8-b1"	"460.8-b"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [86, 57], [-328, -7]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(57a+86\\right){x}-7a-328"
"460.8-b2"	"460.8-b"	"2.0.111.1"	[28, -1, 1]	460	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [72, 8], [-404, 4]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(8a+72\\right){x}+4a-404"
"476.10-a1"	"476.10-a"	"2.0.111.1"	[28, -1, 1]	476	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 1], [495, 306], [-27280, -2211]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(306a+495\\right){x}-2211a-27280"
"476.10-a2"	"476.10-a"	"2.0.111.1"	[28, -1, 1]	476	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 1], [-345, -14], [-2045, -258]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-14a-345\\right){x}-258a-2045"
"476.10-b1"	"476.10-b"	"2.0.111.1"	[28, -1, 1]	476	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 1], [1220, -256], [21332, 2223]]	"{y}^2+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-256a+1220\\right){x}+2223a+21332"
"476.10-b2"	"476.10-b"	"2.0.111.1"	[28, -1, 1]	476	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 1], [60, 64], [2859, 116]]	"{y}^2+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(64a+60\\right){x}+116a+2859"
"476.3-a1"	"476.3-a"	"2.0.111.1"	[28, -1, 1]	476	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 1], [801, -306], [-29490, 2210]]	"{y}^2+a{y}={x}^3-a{x}^2+\\left(-306a+801\\right){x}+2210a-29490"
"476.3-a2"	"476.3-a"	"2.0.111.1"	[28, -1, 1]	476	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 1], [-359, 14], [-2302, 257]]	"{y}^2+a{y}={x}^3-a{x}^2+\\left(14a-359\\right){x}+257a-2302"
"476.3-b1"	"476.3-b"	"2.0.111.1"	[28, -1, 1]	476	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 1], [964, 256], [23556, -2224]]	"{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(256a+964\\right){x}-2224a+23556"
"476.3-b2"	"476.3-b"	"2.0.111.1"	[28, -1, 1]	476	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 1], [124, -64], [2976, -117]]	"{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-64a+124\\right){x}-117a+2976"
"480.10-a1"	"480.10-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-31, -13], [169, -5]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-13a-31\\right){x}-5a+169"
"480.10-a2"	"480.10-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-11, -8], [129, 21]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-8a-11\\right){x}+21a+129"
"480.10-b1"	"480.10-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [198, -80], [1115, 112]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-80a+198\\right){x}+112a+1115"
"480.10-b2"	"480.10-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-222, -42], [-188, -336]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-42a-222\\right){x}-336a-188"
"480.11-a1"	"480.11-a"	"2.0.111.1"	[28, -1, 1]	480	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-44, -4], [269, 39]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-4a-44\\right){x}+39a+269"
"480.11-a2"	"480.11-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-14, 6], [23, 5]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(6a-14\\right){x}+5a+23"
"480.11-a3"	"480.11-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [11, 1], [0, 0]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(a+11\\right){x}"
"480.11-a4"	"480.11-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [16, 1], [-13, -1]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(a+16\\right){x}-a-13"
"480.11-b1"	"480.11-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [27, -82], [-1886, 610]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-82a+27\\right){x}+610a-1886"
"480.11-b2"	"480.11-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-203, -17], [-632, -152]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-17a-203\\right){x}-152a-632"
"480.11-b3"	"480.11-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [2, -7], [-21, 15]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-7a+2\\right){x}+15a-21"
"480.11-b4"	"480.11-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [36, -6], [-27, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-6a+36\\right){x}+6a-27"
"480.2-a1"	"480.2-a"	"2.0.111.1"	[28, -1, 1]	480	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-48, 4], [308, -39]]	"{y}^2+a{x}{y}={x}^3+\\left(4a-48\\right){x}-39a+308"
"480.2-a2"	"480.2-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-8, -6], [28, -5]]	"{y}^2+a{x}{y}={x}^3+\\left(-6a-8\\right){x}-5a+28"
"480.2-a3"	"480.2-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [12, -1], [0, 0]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+12\\right){x}"
"480.2-a4"	"480.2-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [17, -1], [-14, 1]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+17\\right){x}+a-14"
"480.2-b1"	"480.2-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-28, 83], [-1220, -693]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(83a-28\\right){x}-693a-1220"
"480.2-b2"	"480.2-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-193, 18], [-563, 134]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(18a-193\\right){x}+134a-563"
"480.2-b3"	"480.2-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [22, 8], [0, -23]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(8a+22\\right){x}-23a"
"480.2-b4"	"480.2-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [32, 4], [-20, -7]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+32\\right){x}-7a-20"
"480.3-a1"	"480.3-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-44, 13], [164, 5]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(13a-44\\right){x}+5a+164"
"480.3-a2"	"480.3-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-19, 8], [150, -21]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(8a-19\\right){x}-21a+150"
"480.3-b1"	"480.3-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [120, 78], [1228, -113]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(78a+120\\right){x}-113a+1228"
"480.3-b2"	"480.3-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-264, 42], [-524, 336]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(42a-264\\right){x}+336a-524"
"480.4-a1"	"480.4-a"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [452, -7], [-1280, 492]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a+452\\right){x}+492a-1280"
"480.4-a2"	"480.4-a"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-1603, -102], [28210, 2426]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-102a-1603\\right){x}+2426a+28210"
"480.4-b1"	"480.4-b"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [507, -62], [-3805, -327]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-62a+507\\right){x}-327a-3805"
"480.4-b2"	"480.4-b"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [1412, -157], [-13377, 8033]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-157a+1412\\right){x}+8033a-13377"
"480.4-c1"	"480.4-c"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [43, 16], [-91, -52]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(16a+43\\right){x}-52a-91"
"480.4-c2"	"480.4-c"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [176, 324], [-27804, -2948]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(324a+176\\right){x}-2948a-27804"
"480.4-d1"	"480.4-d"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-39, -656], [-50134, 13659]]	"{y}^2+a{x}{y}={x}^3+\\left(-656a-39\\right){x}+13659a-50134"
"480.4-d2"	"480.4-d"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-37, 296], [11292, -8451]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(296a-37\\right){x}-8451a+11292"
"480.5-a1"	"480.5-a"	"2.0.111.1"	[28, -1, 1]	480	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-48, -12], [336, -60]]	"{y}^2={x}^3+a{x}^2+\\left(-12a-48\\right){x}-60a+336"
"480.5-a2"	"480.5-a"	"2.0.111.1"	[28, -1, 1]	480	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [12, 3], [0, 0]]	"{y}^2={x}^3+a{x}^2+\\left(3a+12\\right){x}"
"480.5-b1"	"480.5-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-124, -79], [-1896, 594]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-79a-124\\right){x}+594a-1896"
"480.5-b2"	"480.5-b"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-36, -5], [80, 4]]	"{y}^2={x}^3+a{x}^2+\\left(-5a-36\\right){x}+4a+80"
"480.5-c1"	"480.5-c"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [432, 12], [876, -564]]	"{y}^2={x}^3-{x}^2+\\left(12a+432\\right){x}-564a+876"
"480.5-c2"	"480.5-c"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-256, 16], [1364, -55]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(16a-256\\right){x}-55a+1364"
"480.5-d1"	"480.5-d"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-504, 13], [-3512, -366]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(13a-504\\right){x}-366a-3512"
"480.5-d2"	"480.5-d"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [141, -17], [-686, -105]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-17a+141\\right){x}-105a-686"
"480.8-a1"	"480.8-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [444, -12], [312, 564]]	"{y}^2={x}^3-{x}^2+\\left(-12a+444\\right){x}+564a+312"
"480.8-a2"	"480.8-a"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-240, -16], [1309, 55]]	"{y}^2={x}^3+a{x}^2+\\left(-16a-240\\right){x}+55a+1309"
"480.8-b1"	"480.8-b"	"2.0.111.1"	[28, -1, 1]	480	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-60, 12], [276, 60]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(12a-60\\right){x}+60a+276"
"480.8-b2"	"480.8-b"	"2.0.111.1"	[28, -1, 1]	480	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [15, -3], [0, 0]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a+15\\right){x}"
"480.8-c1"	"480.8-c"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-491, -13], [-3878, 366]]	"{y}^2={x}^3+a{x}^2+\\left(-13a-491\\right){x}+366a-3878"
"480.8-c2"	"480.8-c"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [124, 17], [-791, 105]]	"{y}^2={x}^3+a{x}^2+\\left(17a+124\\right){x}+105a-791"
"480.8-d1"	"480.8-d"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-203, 79], [-1302, -594]]	"{y}^2={x}^3+a{x}^2+\\left(79a-203\\right){x}-594a-1302"
"480.8-d2"	"480.8-d"	"2.0.111.1"	[28, -1, 1]	480	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-41, 5], [84, -4]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(5a-41\\right){x}-4a+84"
"480.9-a1"	"480.9-a"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [430, -6], [-1260, -48]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-6a+430\\right){x}-48a-1260"
"480.9-a2"	"480.9-a"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-1705, 100], [30636, -2427]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(100a-1705\\right){x}-2427a+30636"
"480.9-b1"	"480.9-b"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [430, 49], [-6144, 771]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(49a+430\\right){x}+771a-6144"
"480.9-b2"	"480.9-b"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [1255, 155], [-5344, -8034]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(155a+1255\\right){x}-8034a-5344"
"480.9-c1"	"480.9-c"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [58, -16], [-85, 36]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-16a+58\\right){x}+36a-85"
"480.9-c2"	"480.9-c"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [512, -338], [-22025, 3460]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-338a+512\\right){x}+3460a-22025"
"480.9-d1"	"480.9-d"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-695, 656], [-36475, -13659]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(656a-695\\right){x}-13659a-36475"
"480.9-d2"	"480.9-d"	"2.0.111.1"	[28, -1, 1]	480	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [258, -296], [3099, 8155]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-296a+258\\right){x}+8155a+3099"
"490.11-a1"	"490.11-a"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-44, 10], [-128, 36]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(10a-44\\right){x}+36a-128"
"490.11-b1"	"490.11-b"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-14, 1], [-3, -4]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(a-14\\right){x}-4a-3"
"490.2-a1"	"490.2-a"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-33, -11], [-91, -37]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-11a-33\\right){x}-37a-91"
"490.2-b1"	"490.2-b"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-13, -1], [-7, 4]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-a-13\\right){x}+4a-7"
"490.4-a1"	"490.4-a"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 1], [77, -36], [770, -73]]	"{y}^2+a{y}={x}^3-a{x}^2+\\left(-36a+77\\right){x}-73a+770"
"490.4-b1"	"490.4-b"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 0], [-804, -182], [235, -3197]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-182a-804\\right){x}-3197a+235"
"490.5-a1"	"490.5-a"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [6193, -164], [-30015, -33076]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-164a+6193\\right){x}-33076a-30015"
"490.5-a2"	"490.5-a"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [30238, -7299], [3896796, 91616]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-7299a+30238\\right){x}+91616a+3896796"
"490.5-a3"	"490.5-a"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [-22857, -514], [-193129, -188609]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-514a-22857\\right){x}-188609a-193129"
"490.5-b1"	"490.5-b"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-33, 12], [73, 15]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(12a-33\\right){x}+15a+73"
"490.5-c1"	"490.5-c"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [-13, 1], [17, 1]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(a-13\\right){x}+a+17"
"490.5-d1"	"490.5-d"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [416, -176], [-13144, 1032]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-176a+416\\right){x}+1032a-13144"
"490.5-d2"	"490.5-d"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-2979, -1241], [28429, -44937]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-1241a-2979\\right){x}-44937a+28429"
"490.5-d3"	"490.5-d"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-2314, 594], [-55634, 3930]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(594a-2314\\right){x}+3930a-55634"
"490.6-a1"	"490.6-a"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [1942, -571], [191864, -61205]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-571a+1942\\right){x}-61205a+191864"
"490.6-b1"	"490.6-b"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [-3449, -3], [-195711, 61492]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-3a-3449\\right){x}+61492a-195711"
"490.7-a1"	"490.7-a"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [-3452, 4], [-137670, -61490]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(4a-3452\\right){x}-61490a-137670"
"490.7-b1"	"490.7-b"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [1370, 572], [129289, 60633]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(572a+1370\\right){x}+60633a+129289"
"490.8-a1"	"490.8-a"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [-12, -2], [18, -2]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-2a-12\\right){x}-2a+18"
"490.8-b1"	"490.8-b"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [6029, 164], [-69120, 32912]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(164a+6029\\right){x}+32912a-69120"
"490.8-b2"	"490.8-b"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [22939, 7299], [3965473, -98915]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(7299a+22939\\right){x}-98915a+3965473"
"490.8-b3"	"490.8-b"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [-23371, 514], [-358367, 188095]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(514a-23371\\right){x}+188095a-358367"
"490.8-c1"	"490.8-c"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [240, 176], [-12112, -1032]]	"{y}^2+a{x}{y}={x}^3+\\left(176a+240\\right){x}-1032a-12112"
"490.8-c2"	"490.8-c"	"2.0.111.1"	[28, -1, 1]	490	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-4220, 1241], [-16508, 44937]]	"{y}^2+a{x}{y}={x}^3+\\left(1241a-4220\\right){x}+44937a-16508"
"490.8-c3"	"490.8-c"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-1720, -594], [-51704, -3930]]	"{y}^2+a{x}{y}={x}^3+\\left(-594a-1720\\right){x}-3930a-51704"
"490.8-d1"	"490.8-d"	"2.0.111.1"	[28, -1, 1]	490	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-21, -12], [88, -15]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-12a-21\\right){x}-15a+88"
"490.9-a1"	"490.9-a"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 1], [41, 36], [697, 72]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(36a+41\\right){x}+72a+697"
"490.9-b1"	"490.9-b"	"2.0.111.1"	[28, -1, 1]	490	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 1], [-957, 168], [-7848, 2407]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(168a-957\\right){x}+2407a-7848"
"500.6-a1"	"500.6-a"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-2, 1], [8, 1]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-2\\right){x}+a+8"
"500.6-b1"	"500.6-b"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [2328, -639], [-11436, -10243]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-639a+2328\\right){x}-10243a-11436"
"500.6-b2"	"500.6-b"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [14768, -8049], [3277148, -271369]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-8049a+14768\\right){x}-271369a+3277148"
"500.6-c1"	"500.6-c"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [0, -2], [10, -2]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-2a{x}-2a+10"
"500.6-d1"	"500.6-d"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [102, -29], [-824, -1]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-29a+102\\right){x}-a-824"
"500.6-e1"	"500.6-e"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [0, -38], [382, -219]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2-38a{x}-219a+382"
"500.6-f1"	"500.6-f"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [32756, -15572], [9438794, -614337]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-15572a+32756\\right){x}-614337a+9438794"
"500.6-f2"	"500.6-f"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [766, -1462], [66620, 22549]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-1462a+766\\right){x}+22549a+66620"
"500.6-g1"	"500.6-g"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-14, -4], [174, -11]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-4a-14\\right){x}-11a+174"
"500.6-h1"	"500.6-h"	"2.0.111.1"	[28, -1, 1]	500	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [652, 13], [1800, -248]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(13a+652\\right){x}-248a+1800"
"500.6-h2"	"500.6-h"	"2.0.111.1"	[28, -1, 1]	500	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [7012, -277], [30872, 39644]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-277a+7012\\right){x}+39644a+30872"
"500.6-i1"	"500.6-i"	"2.0.111.1"	[28, -1, 1]	500	2	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [4, -14], [-81, 33]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-14a+4\\right){x}+33a-81"
"500.6-j1"	"500.6-j"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-14, 13], [-27, -48]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(13a-14\\right){x}-48a-27"
"500.6-k1"	"500.6-k"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [2, -2], [59, 1]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-2a+2\\right){x}+a+59"
"500.6-l1"	"500.6-l"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-42, -9], [78, -14]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-9a-42\\right){x}-14a+78"
"500.6-m1"	"500.6-m"	"2.0.111.1"	[28, -1, 1]	500	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-85620, 3305], [-9478350, 573775]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(3305a-85620\\right){x}+573775a-9478350"
"500.6-m2"	"500.6-m"	"2.0.111.1"	[28, -1, 1]	500	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-7130, 695], [-55772, -21467]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(695a-7130\\right){x}-21467a-55772"
"500.6-n1"	"500.6-n"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-105, -38], [-21, 268]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-38a-105\\right){x}+268a-21"
"500.7-a1"	"500.7-a"	"2.0.111.1"	[28, -1, 1]	500	2	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-9, 13], [-47, -34]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(13a-9\\right){x}-34a-47"
"500.7-b1"	"500.7-b"	"2.0.111.1"	[28, -1, 1]	500	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [6707, 278], [77223, -39367]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(278a+6707\\right){x}-39367a+77223"
"500.7-b2"	"500.7-b"	"2.0.111.1"	[28, -1, 1]	500	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [637, -12], [2189, 235]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-12a+637\\right){x}+235a+2189"
"500.7-c1"	"500.7-c"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [0, -14], [-74, 47]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2-14a{x}+47a-74"
"500.7-d1"	"500.7-d"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-1, 4], [61, -4]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a-1\\right){x}-4a+61"
"500.7-e1"	"500.7-e"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-24, -4], [4, -10]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-4a-24\\right){x}-10a+4"
"500.7-f1"	"500.7-f"	"2.0.111.1"	[28, -1, 1]	500	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-6435, -695], [-77239, 21467]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-695a-6435\\right){x}+21467a-77239"
"500.7-f2"	"500.7-f"	"2.0.111.1"	[28, -1, 1]	500	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-82315, -3305], [-8904575, -573775]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-3305a-82315\\right){x}-573775a-8904575"
"500.7-g1"	"500.7-g"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-142, 37], [248, -269]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(37a-142\\right){x}-269a+248"
"500.7-h1"	"500.7-h"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [0, -2], [10, -2]]	"{y}^2+{x}{y}+a{y}={x}^3-2a{x}-2a+10"
"500.7-i1"	"500.7-i"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-1, 1], [9, 1]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}+a+9"
"500.7-j1"	"500.7-j"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [6718, 8051], [3012497, 279419]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(8051a+6718\\right){x}+279419a+3012497"
"500.7-j2"	"500.7-j"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [1688, 641], [-19991, 10883]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(641a+1688\\right){x}+10883a-19991"
"500.7-k1"	"500.7-k"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [73, 28], [-825, 0]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(28a+73\\right){x}-825"
"500.7-l1"	"500.7-l"	"2.0.111.1"	[28, -1, 1]	500	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-38, 37], [163, 218]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(37a-38\\right){x}+218a+163"
"500.7-m1"	"500.7-m"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-696, 1461], [89169, -22550]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(1461a-696\\right){x}-22550a+89169"
"500.7-m2"	"500.7-m"	"2.0.111.1"	[28, -1, 1]	500	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [17184, 15571], [8824457, 614336]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(15571a+17184\\right){x}+614336a+8824457"
"500.7-n1"	"500.7-n"	"2.0.111.1"	[28, -1, 1]	500	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-16, 2], [164, 10]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a-16\\right){x}+10a+164"
"507.1-c1"	"507.1-c"	"2.0.111.1"	[28, -1, 1]	507	2	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [4, 0], [6, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+4{x}+6"
"507.1-c2"	"507.1-c"	"2.0.111.1"	[28, -1, 1]	507	2	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-41, 0], [96, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-41{x}+96"
"507.1-c3"	"507.1-c"	"2.0.111.1"	[28, -1, 1]	507	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-176, 0], [-768, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-176{x}-768"
"507.1-c4"	"507.1-c"	"2.0.111.1"	[28, -1, 1]	507	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-626, 0], [6180, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-626{x}+6180"
"507.1-d1"	"507.1-d"	"2.0.111.1"	[28, -1, 1]	507	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [1, 0], [0, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2+{x}"
"507.1-d2"	"507.1-d"	"2.0.111.1"	[28, -1, 1]	507	2	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-4, 0], [-5, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-4{x}-5"
"507.1-d3"	"507.1-d"	"2.0.111.1"	[28, -1, 1]	507	2	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-19, 0], [22, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-19{x}+22"
"507.1-d4"	"507.1-d"	"2.0.111.1"	[28, -1, 1]	507	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [-69, 0], [-252, 0]]	"{y}^2+{x}{y}={x}^3+{x}^2-69{x}-252"
"512.2-a1"	"512.2-a"	"2.0.111.1"	[28, -1, 1]	512	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [13, 6], [-5, -24]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(6a+13\\right){x}-24a-5"
"512.2-b1"	"512.2-b"	"2.0.111.1"	[28, -1, 1]	512	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [5, -6], [71, 16]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-6a+5\\right){x}+16a+71"
"512.9-a1"	"512.9-a"	"2.0.111.1"	[28, -1, 1]	512	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [19, -6], [-29, 24]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6a+19\\right){x}+24a-29"
"512.9-b1"	"512.9-b"	"2.0.111.1"	[28, -1, 1]	512	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-1, 4], [87, -17]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a-1\\right){x}-17a+87"
"525.2-a1"	"525.2-a"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [1371, -332], [-40076, -1282]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(-332a+1371\\right){x}-1282a-40076"
"525.2-a2"	"525.2-a"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [9, 56], [-1164, 402]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(56a+9\\right){x}+402a-1164"
"525.2-b1"	"525.2-b"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [-2103, -44], [37720, 455]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-44a-2103\\right){x}+455a+37720"
"525.2-b2"	"525.2-b"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-31, 9], [10, -15]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(9a-31\\right){x}-15a+10"
"525.5-a1"	"525.5-a"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [1039, 331], [-41358, 1281]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(331a+1039\\right){x}+1281a-41358"
"525.5-a2"	"525.5-a"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [66, -57], [-761, -403]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(-57a+66\\right){x}-403a-761"
"525.5-b1"	"525.5-b"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [-2147, 43], [38175, -456]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(43a-2147\\right){x}-456a+38175"
"525.5-b2"	"525.5-b"	"2.0.111.1"	[28, -1, 1]	525	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-22, -9], [-5, 15]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-9a-22\\right){x}+15a-5"
"529.2-a1"	"529.2-a"	"2.0.111.1"	[28, -1, 1]	529	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [-142, -51], [-682, 445]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-51a-142\\right){x}+445a-682"
"529.2-a2"	"529.2-a"	"2.0.111.1"	[28, -1, 1]	529	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [908, 349], [4904, -3601]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(349a+908\\right){x}-3601a+4904"
"529.2-b1"	"529.2-b"	"2.0.111.1"	[28, -1, 1]	529	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [-193, 51], [-237, -445]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(51a-193\\right){x}-445a-237"
"529.2-b2"	"529.2-b"	"2.0.111.1"	[28, -1, 1]	529	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [1257, -349], [1303, 3601]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(-349a+1257\\right){x}+3601a+1303"
"534.1-a1"	"534.1-a"	"2.0.111.1"	[28, -1, 1]	534	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [15, 1], [5, -13]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(a+15\\right){x}-13a+5"
"534.1-b1"	"534.1-b"	"2.0.111.1"	[28, -1, 1]	534	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-8, 0], [-1, 0]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2-8{x}-1"
"534.4-a1"	"534.4-a"	"2.0.111.1"	[28, -1, 1]	534	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [16, -2], [-8, 12]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-2a+16\\right){x}+12a-8"
"534.4-b1"	"534.4-b"	"2.0.111.1"	[28, -1, 1]	534	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-8, 0], [-1, 0]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2-8{x}-1"
"540.3-a1"	"540.3-a"	"2.0.111.1"	[28, -1, 1]	540	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [24, 2], [4, -2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a+24\\right){x}-2a+4"
"540.3-a2"	"540.3-a"	"2.0.111.1"	[28, -1, 1]	540	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-76, -23], [148, 242]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-23a-76\\right){x}+242a+148"
"540.3-b1"	"540.3-b"	"2.0.111.1"	[28, -1, 1]	540	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-10, -5], [41, -16]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-5a-10\\right){x}-16a+41"
"540.3-b2"	"540.3-b"	"2.0.111.1"	[28, -1, 1]	540	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1085, 45], [13769, -858]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(45a-1085\\right){x}-858a+13769"
"540.4-a1"	"540.4-a"	"2.0.111.1"	[28, -1, 1]	540	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [26, -4], [2, 1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-4a+26\\right){x}+a+2"
"540.4-a2"	"540.4-a"	"2.0.111.1"	[28, -1, 1]	540	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-99, 21], [390, -243]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(21a-99\\right){x}-243a+390"
"540.4-b1"	"540.4-b"	"2.0.111.1"	[28, -1, 1]	540	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-15, 5], [25, 16]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(5a-15\\right){x}+16a+25"
"540.4-b2"	"540.4-b"	"2.0.111.1"	[28, -1, 1]	540	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1040, -45], [12911, 858]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-45a-1040\\right){x}+858a+12911"
"556.1-a1"	"556.1-a"	"2.0.111.1"	[28, -1, 1]	556	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 1], [-165, -2], [-799, -17]]	"{y}^2+a{y}={x}^3-{x}^2+\\left(-2a-165\\right){x}-17a-799"
"556.1-b1"	"556.1-b"	"2.0.111.1"	[28, -1, 1]	556	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-17, -5], [-25, -7]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a-17\\right){x}-7a-25"
"556.6-a1"	"556.6-a"	"2.0.111.1"	[28, -1, 1]	556	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 1], [-167, 2], [-816, 16]]	"{y}^2+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(2a-167\\right){x}+16a-816"
"556.6-b1"	"556.6-b"	"2.0.111.1"	[28, -1, 1]	556	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-22, 5], [-32, 6]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(5a-22\\right){x}+6a-32"
"560.12-a1"	"560.12-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-124, -8], [408, 128]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-8a-124\\right){x}+128a+408"
"560.12-a2"	"560.12-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [11, -3], [34, -2]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-3a+11\\right){x}-2a+34"
"560.12-b1"	"560.12-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [0, -151], [-9592, 1428]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2-151a{x}+1428a-9592"
"560.12-b2"	"560.12-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [155, 9], [-294, 159]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(9a+155\\right){x}+159a-294"
"560.14-a1"	"560.14-a"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [137, 0], [-518, 120]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+137{x}+120a-518"
"560.14-b1"	"560.14-b"	"2.0.111.1"	[28, -1, 1]	560	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [126, 133], [-8688, -937]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(133a+126\\right){x}-937a-8688"
"560.15-a1"	"560.15-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-12, 1], [0, 0]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-12\\right){x}"
"560.15-a2"	"560.15-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-14, -6], [42, 2]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-6a-14\\right){x}+2a+42"
"560.15-b1"	"560.15-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-14, -4], [163, -32]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-4a-14\\right){x}-32a+163"
"560.15-b2"	"560.15-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [42, -6], [-94, 6]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-6a+42\\right){x}+6a-94"
"560.16-a1"	"560.16-a"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [2328, 630], [-114230, 3897]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(630a+2328\\right){x}+3897a-114230"
"560.16-b1"	"560.16-b"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [280, 70], [3549, -334]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(70a+280\\right){x}-334a+3549"
"560.18-a1"	"560.18-a"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-738, 10], [-7636, -93]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(10a-738\\right){x}-93a-7636"
"560.18-b1"	"560.18-b"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-49, -19], [57, -85]]	"{y}^2={x}^3-{x}^2+\\left(-19a-49\\right){x}-85a+57"
"560.18-c1"	"560.18-c"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [36, -11], [-200, 2]]	"{y}^2={x}^3+\\left(-11a+36\\right){x}+2a-200"
"560.18-d1"	"560.18-d"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [-208, -63], [169, 584]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-63a-208\\right){x}+584a+169"
"560.19-a1"	"560.19-a"	"2.0.111.1"	[28, -1, 1]	560	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [86, 2], [-44, 39]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a+86\\right){x}+39a-44"
"560.19-b1"	"560.19-b"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [22161, -6860], [3103628, -43641]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6860a+22161\\right){x}-43641a+3103628"
"560.19-b2"	"560.19-b"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-2529, 70], [391971, -23900]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(70a-2529\\right){x}-23900a+391971"
"560.19-c1"	"560.19-c"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [19521, 6412], [-3122701, 51252]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6412a+19521\\right){x}+51252a-3122701"
"560.19-c2"	"560.19-c"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [1311, 382], [-390444, 21439]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(382a+1311\\right){x}+21439a-390444"
"560.19-d1"	"560.19-d"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [135, 109], [-6531, -218]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(109a+135\\right){x}-218a-6531"
"560.2-a1"	"560.2-a"	"2.0.111.1"	[28, -1, 1]	560	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [88, -2], [-4, -40]]	"{y}^2+a{y}={x}^3+a{x}^2+\\left(-2a+88\\right){x}-40a-4"
"560.2-b1"	"560.2-b"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [25932, -6410], [-3045516, -57664]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-6410a+25932\\right){x}-57664a-3045516"
"560.2-b2"	"560.2-b"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [1692, -380], [-367312, -21821]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-380a+1692\\right){x}-21821a-367312"
"560.2-c1"	"560.2-c"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [15300, 6862], [3075288, 50501]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(6862a+15300\\right){x}+50501a+3075288"
"560.2-c2"	"560.2-c"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-2460, -68], [365612, 23830]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-68a-2460\\right){x}+23830a+365612"
"560.2-d1"	"560.2-d"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [244, -109], [-6748, 217]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-109a+244\\right){x}+217a-6748"
"560.3-a1"	"560.3-a"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-728, -10], [-7728, 92]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-10a-728\\right){x}+92a-7728"
"560.3-b1"	"560.3-b"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-68, 19], [-28, 85]]	"{y}^2={x}^3-{x}^2+\\left(19a-68\\right){x}+85a-28"
"560.3-c1"	"560.3-c"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [25, 11], [-198, -2]]	"{y}^2={x}^3+\\left(11a+25\\right){x}-2a-198"
"560.3-d1"	"560.3-d"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [-271, 63], [754, -585]]	"{y}^2+a{y}={x}^3+\\left(63a-271\\right){x}-585a+754"
"560.5-a1"	"560.5-a"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [2960, -632], [-110332, -3898]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-632a+2960\\right){x}-3898a-110332"
"560.5-b1"	"560.5-b"	"2.0.111.1"	[28, -1, 1]	560	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [352, -72], [3216, 333]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-72a+352\\right){x}+333a+3216"
"560.6-a1"	"560.6-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-12, 1], [12, 0]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-12\\right){x}+12"
"560.6-a2"	"560.6-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [5, -5], [10, 4]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-5a+5\\right){x}+4a+10"
"560.6-b1"	"560.6-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [9, -9], [206, 27]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-9a+9\\right){x}+27a+206"
"560.6-b2"	"560.6-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [36, 6], [-88, -6]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a+36\\right){x}-6a-88"
"560.7-a1"	"560.7-a"	"2.0.111.1"	[28, -1, 1]	560	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [139, -2], [-397, -121]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a+139\\right){x}-121a-397"
"560.7-b1"	"560.7-b"	"2.0.111.1"	[28, -1, 1]	560	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [259, -133], [-9625, 937]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-133a+259\\right){x}+937a-9625"
"560.9-a1"	"560.9-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-133, 10], [403, -119]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(10a-133\\right){x}-119a+403"
"560.9-a2"	"560.9-a"	"2.0.111.1"	[28, -1, 1]	560	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [7, 5], [39, 6]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(5a+7\\right){x}+6a+39"
"560.9-b1"	"560.9-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-152, 153], [-8316, -1276]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(153a-152\\right){x}-1276a-8316"
"560.9-b2"	"560.9-b"	"2.0.111.1"	[28, -1, 1]	560	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [163, -7], [28, -167]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-7a+163\\right){x}-167a+28"
"575.3-a1"	"575.3-a"	"2.0.111.1"	[28, -1, 1]	575	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 1], [1, 2], [-1, -1]]	"{y}^2+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(2a+1\\right){x}-a-1"
"575.3-a2"	"575.3-a"	"2.0.111.1"	[28, -1, 1]	575	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 1], [-59, -18], [0, -94]]	"{y}^2+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-18a-59\\right){x}-94a"
"575.3-b1"	"575.3-b"	"2.0.111.1"	[28, -1, 1]	575	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-67, 7], [52, -44]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(7a-67\\right){x}-44a+52"
"575.3-b2"	"575.3-b"	"2.0.111.1"	[28, -1, 1]	575	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [393, -123], [8189, 170]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-123a+393\\right){x}+170a+8189"
"575.4-a1"	"575.4-a"	"2.0.111.1"	[28, -1, 1]	575	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-60, -7], [8, 44]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(-7a-60\\right){x}+44a+8"
"575.4-a2"	"575.4-a"	"2.0.111.1"	[28, -1, 1]	575	1	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [270, 123], [8359, -170]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(123a+270\\right){x}-170a+8359"
"575.4-b1"	"575.4-b"	"2.0.111.1"	[28, -1, 1]	575	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 1], [3, -2], [-1, 0]]	"{y}^2+a{y}={x}^3+{x}^2+\\left(-2a+3\\right){x}-1"
"575.4-b2"	"575.4-b"	"2.0.111.1"	[28, -1, 1]	575	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 1], [-77, 18], [-93, 93]]	"{y}^2+a{y}={x}^3+{x}^2+\\left(18a-77\\right){x}+93a-93"
"576.2-a1"	"576.2-a"	"2.0.111.1"	[28, -1, 1]	576	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [68, 19], [-432, -22]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(19a+68\\right){x}-22a-432"
"576.2-b1"	"576.2-b"	"2.0.111.1"	[28, -1, 1]	576	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [21, -4], [10, 1]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-4a+21\\right){x}+a+10"
"576.3-a1"	"576.3-a"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [68, 20], [-688, 37]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(20a+68\\right){x}+37a-688"
"576.3-a2"	"576.3-a"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [54, -9], [195, 15]]	"{y}^2={x}^3+\\left(-9a+54\\right){x}+15a+195"
"576.3-b1"	"576.3-b"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [1076, -43], [5396, 316]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-43a+1076\\right){x}+316a+5396"
"576.3-b2"	"576.3-b"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-1280, 220], [9576, -4739]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(220a-1280\\right){x}-4739a+9576"
"576.3-c1"	"576.3-c"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-644, -155], [-3372, -332]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-155a-644\\right){x}-332a-3372"
"576.3-c2"	"576.3-c"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-249, -15], [1431, 54]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-15a-249\\right){x}+54a+1431"
"576.3-d1"	"576.3-d"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [12, 0], [12, 12]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+12{x}+12a+12"
"576.3-d2"	"576.3-d"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-3, 0], [0, 0]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2-3{x}"
"576.5-a1"	"576.5-a"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-800, 157], [-2904, 176]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(157a-800\\right){x}+176a-2904"
"576.5-a2"	"576.5-a"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-265, 17], [1750, -70]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(17a-265\\right){x}-70a+1750"
"576.5-b1"	"576.5-b"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-4, 2], [4, -1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(2a-4\\right){x}-a+4"
"576.5-b2"	"576.5-b"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [11, 2], [13, -13]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(2a+11\\right){x}-13a+13"
"576.5-c1"	"576.5-c"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [45, 9], [210, -15]]	"{y}^2={x}^3+\\left(9a+45\\right){x}-15a+210"
"576.5-c2"	"576.5-c"	"2.0.111.1"	[28, -1, 1]	576	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [87, -18], [-738, -18]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-18a+87\\right){x}-18a-738"
"576.5-d1"	"576.5-d"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [1032, 45], [4680, -360]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(45a+1032\\right){x}-360a+4680"
"576.5-d2"	"576.5-d"	"2.0.111.1"	[28, -1, 1]	576	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-1061, -218], [5898, 4958]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-218a-1061\\right){x}+4958a+5898"
"576.6-a1"	"576.6-a"	"2.0.111.1"	[28, -1, 1]	576	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [87, -21], [-454, 21]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-21a+87\\right){x}+21a-454"
"576.6-b1"	"576.6-b"	"2.0.111.1"	[28, -1, 1]	576	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [3, -9], [81, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-9a+3\\right){x}+6a+81"
"580.10-a1"	"580.10-a"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [25, 8], [-42, -34]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(8a+25\\right){x}-34a-42"
"580.10-b1"	"580.10-b"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [25, 2], [-32, -3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2a+25\\right){x}-3a-32"
"580.3-a1"	"580.3-a"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [35, -10], [-75, 33]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-10a+35\\right){x}+33a-75"
"580.3-b1"	"580.3-b"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [27, -2], [-35, 3]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-2a+27\\right){x}+3a-35"
"580.5-a1"	"580.5-a"	"2.0.111.1"	[28, -1, 1]	580	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [1027, -138], [10793, 1648]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-138a+1027\\right){x}+1648a+10793"
"580.5-a2"	"580.5-a"	"2.0.111.1"	[28, -1, 1]	580	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-93, 7], [209, 17]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(7a-93\\right){x}+17a+209"
"580.5-b1"	"580.5-b"	"2.0.111.1"	[28, -1, 1]	580	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-1058, -95], [-12016, -2008]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-95a-1058\\right){x}-2008a-12016"
"580.5-b2"	"580.5-b"	"2.0.111.1"	[28, -1, 1]	580	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [62, 10], [-116, 8]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(10a+62\\right){x}+8a-116"
"580.6-a1"	"580.6-a"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [11, 6], [-144, 11]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(6a+11\\right){x}+11a-144"
"580.6-b1"	"580.6-b"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [187, 54], [2509, -102]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(54a+187\\right){x}-102a+2509"
"580.7-a1"	"580.7-a"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [18, -7], [-132, -12]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-7a+18\\right){x}-12a-132"
"580.7-b1"	"580.7-b"	"2.0.111.1"	[28, -1, 1]	580	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [241, -54], [2407, 102]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-54a+241\\right){x}+102a+2407"
"580.8-a1"	"580.8-a"	"2.0.111.1"	[28, -1, 1]	580	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-1153, 94], [-14024, 2007]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(94a-1153\\right){x}+2007a-14024"
"580.8-a2"	"580.8-a"	"2.0.111.1"	[28, -1, 1]	580	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [72, -11], [-108, -9]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-11a+72\\right){x}-9a-108"
"580.8-b1"	"580.8-b"	"2.0.111.1"	[28, -1, 1]	580	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [888, 140], [13329, -1509]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(140a+888\\right){x}-1509a+13329"
"580.8-b2"	"580.8-b"	"2.0.111.1"	[28, -1, 1]	580	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-87, -5], [139, -23]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a-87\\right){x}-23a+139"
"584.3-a1"	"584.3-a"	"2.0.111.1"	[28, -1, 1]	584	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [559, -95], [5253, 745]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-95a+559\\right){x}+745a+5253"
"584.3-a2"	"584.3-a"	"2.0.111.1"	[28, -1, 1]	584	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [79, 0], [-67, -25]]	"{y}^2+a{x}{y}+a{y}={x}^3+79{x}-25a-67"
"584.3-b1"	"584.3-b"	"2.0.111.1"	[28, -1, 1]	584	2	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [99, 2], [-501, 110]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(2a+99\\right){x}+110a-501"
"584.3-b2"	"584.3-b"	"2.0.111.1"	[28, -1, 1]	584	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-1, -3], [7, 1]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3a-1\\right){x}+a+7"
"584.6-a1"	"584.6-a"	"2.0.111.1"	[28, -1, 1]	584	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [464, 93], [5998, -746]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(93a+464\\right){x}-746a+5998"
"584.6-a2"	"584.6-a"	"2.0.111.1"	[28, -1, 1]	584	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [79, -2], [-92, 24]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-2a+79\\right){x}+24a-92"
"584.6-b1"	"584.6-b"	"2.0.111.1"	[28, -1, 1]	584	2	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [113, -16], [-281, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-16a+113\\right){x}+3a-281"
"584.6-b2"	"584.6-b"	"2.0.111.1"	[28, -1, 1]	584	2	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [8, -11], [83, 7]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-11a+8\\right){x}+7a+83"
"588.1-a1"	"588.1-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [180, 18], [-176, 423]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(18a+180\\right){x}+423a-176"
"588.1-a2"	"588.1-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [-1400, 8], [-15967, 117]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(8a-1400\\right){x}+117a-15967"
"588.1-b1"	"588.1-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [40, -5], [-48, -9]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a+40\\right){x}-9a-48"
"588.1-b2"	"588.1-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-65, -45], [1009, -178]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-45a-65\\right){x}-178a+1009"
"588.2-a1"	"588.2-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-49, 13], [10, 58]]	"{y}^2={x}^3-{x}^2+\\left(13a-49\\right){x}+58a+10"
"588.2-a2"	"588.2-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-968, 773], [-53976, -18544]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(773a-968\\right){x}-18544a-53976"
"588.2-b1"	"588.2-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-477, -16], [-3674, -199]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-16a-477\\right){x}-199a-3674"
"588.2-b2"	"588.2-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [4032, -277], [36820, 17620]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-277a+4032\\right){x}+17620a+36820"
"588.3-a1"	"588.3-a"	"2.0.111.1"	[28, -1, 1]	588	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-5, -38], [-51, 225]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-38a-5\\right){x}+225a-51"
"588.3-b1"	"588.3-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [179, -8], [-48, -1332]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-8a+179\\right){x}-1332a-48"
"588.3-b2"	"588.3-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [11, 24], [433, -13]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(24a+11\\right){x}-13a+433"
"588.3-c1"	"588.3-c"	"2.0.111.1"	[28, -1, 1]	588	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [35, -4], [-93, 3]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-4a+35\\right){x}+3a-93"
"588.3-d1"	"588.3-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-56, 30], [133, 1334]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(30a-56\\right){x}+1334a+133"
"588.3-d2"	"588.3-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [584, 45], [2348, -825]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(45a+584\\right){x}-825a+2348"
"588.5-a1"	"588.5-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-36, 0], [-176, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-36{x}-176"
"588.5-a2"	"588.5-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [3474, 0], [-31010, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+3474{x}-31010"
"588.5-a3"	"588.5-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-936, 0], [-3668, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-936{x}-3668"
"588.5-a4"	"588.5-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-8226, 0], [286474, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-8226{x}+286474"
"588.5-a5"	"588.5-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-756, 0], [-7808, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808"
"588.5-a6"	"588.5-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-12096, 0], [-509036, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-12096{x}-509036"
"588.5-b1"	"588.5-b"	"2.0.111.1"	[28, -1, 1]	588	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [-579, -410], [13246, -6745]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(-410a-579\\right){x}-6745a+13246"
"588.5-b2"	"588.5-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [-14591, 288], [-676510, 24885]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(288a-14591\\right){x}+24885a-676510"
"588.5-b3"	"588.5-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [4710, -1302], [-30780, 71820]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-1302a+4710\\right){x}+71820a-30780"
"588.5-b4"	"588.5-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-32410, 8938], [-503100, 710796]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(8938a-32410\\right){x}+710796a-503100"
"588.5-c1"	"588.5-c"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [64862, -1750], [310884, -1129380]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1750a+64862\\right){x}-1129380a+310884"
"588.5-c2"	"588.5-c"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-16843, -11500], [868149, -1094340]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-11500a-16843\\right){x}-1094340a+868149"
"588.5-c3"	"588.5-c"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-15503, 4275], [-77711, 207379]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4275a-15503\\right){x}+207379a-77711"
"588.5-c4"	"588.5-c"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [61537, -57960], [-58194311, 6291208]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-57960a+61537\\right){x}+6291208a-58194311"
"588.5-c5"	"588.5-c"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [268942, -33210], [49594324, 6570568]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-33210a+268942\\right){x}+6570568a+49594324"
"588.5-c6"	"588.5-c"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-6223, 1715], [62769, -75117]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1715a-6223\\right){x}-75117a+62769"
"588.5-d1"	"588.5-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [-14303, -288], [-651625, -24885]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-288a-14303\\right){x}-24885a-651625"
"588.5-d2"	"588.5-d"	"2.0.111.1"	[28, -1, 1]	588	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [-989, 408], [6501, 6744]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(408a-989\\right){x}+6744a+6501"
"588.5-d3"	"588.5-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [3408, 1302], [41040, -71820]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(1302a+3408\\right){x}-71820a+41040"
"588.5-d4"	"588.5-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-23472, -8938], [207696, -710796]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-8938a-23472\\right){x}-710796a+207696"
"588.5-e1"	"588.5-e"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-28344, 11502], [-254535, 1105841]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(11502a-28344\\right){x}+1105841a-254535"
"588.5-e2"	"588.5-e"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [63111, 1752], [-755385, 1131131]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1752a+63111\\right){x}+1131131a-755385"
"588.5-e3"	"588.5-e"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-11229, -4273], [118439, -211653]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-4273a-11229\\right){x}-211653a+118439"
"588.5-e4"	"588.5-e"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [235731, 33212], [56400623, -6537357]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(33212a+235731\\right){x}-6537357a+56400623"
"588.5-e5"	"588.5-e"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [3576, 57962], [-51899527, -6233247]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(57962a+3576\\right){x}-6233247a-51899527"
"588.5-e6"	"588.5-e"	"2.0.111.1"	[28, -1, 1]	588	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-4509, -1713], [-16857, 73403]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-1713a-4509\\right){x}+73403a-16857"
"588.5-f1"	"588.5-f"	"2.0.111.1"	[28, -1, 1]	588	1	[8]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-4, 0], [5, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-4{x}+5"
"588.5-f2"	"588.5-f"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [386, 0], [1277, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+386{x}+1277"
"588.5-f3"	"588.5-f"	"2.0.111.1"	[28, -1, 1]	588	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-104, 0], [101, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-104{x}+101"
"588.5-f4"	"588.5-f"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-914, 0], [-10915, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-914{x}-10915"
"588.5-f5"	"588.5-f"	"2.0.111.1"	[28, -1, 1]	588	1	[2, 4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-84, 0], [261, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-84{x}+261"
"588.5-f6"	"588.5-f"	"2.0.111.1"	[28, -1, 1]	588	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-1344, 0], [18405, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2-1344{x}+18405"
"588.7-a1"	"588.7-a"	"2.0.111.1"	[28, -1, 1]	588	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-57, 25], [-694, -230]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(25a-57\\right){x}-230a-694"
"588.7-b1"	"588.7-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [183, -6], [-1620, 1515]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-6a+183\\right){x}+1515a-1620"
"588.7-b2"	"588.7-b"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [34, -24], [454, -11]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-24a+34\\right){x}-11a+454"
"588.7-c1"	"588.7-c"	"2.0.111.1"	[28, -1, 1]	588	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [31, 4], [-90, -3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+31\\right){x}-3a-90"
"588.7-d1"	"588.7-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-26, -32], [1467, -1335]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-32a-26\\right){x}-1335a+1467"
"588.7-d2"	"588.7-d"	"2.0.111.1"	[28, -1, 1]	588	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [614, -58], [2323, 1453]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-58a+614\\right){x}+1453a+2323"
"588.8-a1"	"588.8-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-36, -13], [68, -58]]	"{y}^2={x}^3-{x}^2+\\left(-13a-36\\right){x}-58a+68"
"588.8-a2"	"588.8-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-209, -786], [-50680, 17576]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-786a-209\\right){x}+17576a-50680"
"588.8-b1"	"588.8-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-507, 1], [-4111, -293]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(a-507\\right){x}-293a-4111"
"588.8-b2"	"588.8-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [3755, 277], [54440, -17620]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(277a+3755\\right){x}-17620a+54440"
"588.9-a1"	"588.9-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [198, -18], [247, -423]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-18a+198\\right){x}-423a+247"
"588.9-a2"	"588.9-a"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [-1392, -10], [-15850, -118]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-10a-1392\\right){x}-118a-15850"
"588.9-b1"	"588.9-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [21, -10], [13, 34]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-10a+21\\right){x}+34a+13"
"588.9-b2"	"588.9-b"	"2.0.111.1"	[28, -1, 1]	588	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-124, 30], [-219, 98]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(30a-124\\right){x}+98a-219"
"590.4-a1"	"590.4-a"	"2.0.111.1"	[28, -1, 1]	590	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [23, -5], [8, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-5a+23\\right){x}+3a+8"
"590.4-b1"	"590.4-b"	"2.0.111.1"	[28, -1, 1]	590	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [8, -2], [-13, -6]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-2a+8\\right){x}-6a-13"
"590.5-a1"	"590.5-a"	"2.0.111.1"	[28, -1, 1]	590	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [20, 3], [12, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+20\\right){x}-4a+12"
"590.5-b1"	"590.5-b"	"2.0.111.1"	[28, -1, 1]	590	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [7, 1], [-18, 5]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(a+7\\right){x}+5a-18"
"592.1-a1"	"592.1-a"	"2.0.111.1"	[28, -1, 1]	592	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [36, 15], [260, -36]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(15a+36\\right){x}-36a+260"
"592.1-a2"	"592.1-a"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [96, -70], [-3312, 451]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-70a+96\\right){x}+451a-3312"
"592.1-a3"	"592.1-a"	"2.0.111.1"	[28, -1, 1]	592	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [40, 8], [112, 19]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(8a+40\\right){x}+19a+112"
"592.1-a4"	"592.1-a"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-340, -47], [2076, 698]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-47a-340\\right){x}+698a+2076"
"592.1-b1"	"592.1-b"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-14, -10], [203, 5]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-10a-14\\right){x}+5a+203"
"592.1-b2"	"592.1-b"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-119, -50], [882, -308]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-50a-119\\right){x}-308a+882"
"592.1-c1"	"592.1-c"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [40, -7], [-72, -4]]	"{y}^2+a{y}={x}^3+a{x}^2+\\left(-7a+40\\right){x}-4a-72"
"592.1-d1"	"592.1-d"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [444, -66], [3960, 452]]	"{y}^2+a{y}={x}^3+\\left(-66a+444\\right){x}+452a+3960"
"592.1-e1"	"592.1-e"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-6, 2], [-105, -20]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(2a-6\\right){x}-20a-105"
"592.1-e2"	"592.1-e"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-151, 42], [-266, 190]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(42a-151\\right){x}+190a-266"
"592.1-f1"	"592.1-f"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [24, 4], [4, -7]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+24\\right){x}-7a+4"
"592.1-f2"	"592.1-f"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-356, 29], [3620, -263]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(29a-356\\right){x}-263a+3620"
"592.1-f3"	"592.1-f"	"2.0.111.1"	[28, -1, 1]	592	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [19, 4], [7, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a+19\\right){x}-4a+7"
"592.1-f4"	"592.1-f"	"2.0.111.1"	[28, -1, 1]	592	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [39, -11], [-313, 44]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-11a+39\\right){x}+44a-313"
"592.2-a1"	"592.2-a"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-11, -4], [18, -1]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-4a-11\\right){x}-a+18"
"592.2-b1"	"592.2-b"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-108, 15], [740, -87]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(15a-108\\right){x}-87a+740"
"592.3-a1"	"592.3-a"	"2.0.111.1"	[28, -1, 1]	592	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-5, 0], [1, 0]]	"{y}^2={x}^3-{x}^2-5{x}+1"
"592.3-b1"	"592.3-b"	"2.0.111.1"	[28, -1, 1]	592	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-48, 0], [20, 0]]	"{y}^2={x}^3-48{x}+20"
"592.4-a1"	"592.4-a"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-29, -7], [73, -9]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a-29\\right){x}-9a+73"
"592.4-b1"	"592.4-b"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-93, -15], [653, 87]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-15a-93\\right){x}+87a+653"
"592.5-a1"	"592.5-a"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-38, -3], [110, -33]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3a-38\\right){x}-33a+110"
"592.5-a2"	"592.5-a"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-183, 37], [-644, 175]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(37a-183\\right){x}+175a-644"
"592.5-b1"	"592.5-b"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [26, 70], [-2861, -451]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(70a+26\\right){x}-451a-2861"
"592.5-b2"	"592.5-b"	"2.0.111.1"	[28, -1, 1]	592	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [51, -15], [224, 36]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-15a+51\\right){x}+36a+224"
"592.5-b3"	"592.5-b"	"2.0.111.1"	[28, -1, 1]	592	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [48, -8], [131, -19]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-8a+48\\right){x}-19a+131"
"592.5-b4"	"592.5-b"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-387, 47], [2774, -698]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(47a-387\\right){x}-698a+2774"
"592.5-c1"	"592.5-c"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [33, 7], [-76, 3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(7a+33\\right){x}+3a-76"
"592.5-d1"	"592.5-d"	"2.0.111.1"	[28, -1, 1]	592	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [378, 66], [4412, -453]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(66a+378\\right){x}-453a+4412"
"592.5-e1"	"592.5-e"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-327, -31], [3357, 262]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-31a-327\\right){x}+262a+3357"
"592.5-e2"	"592.5-e"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [28, -6], [-3, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-6a+28\\right){x}+6a-3"
"592.5-e3"	"592.5-e"	"2.0.111.1"	[28, -1, 1]	592	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [23, -6], [3, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-6a+23\\right){x}+3a+3"
"592.5-e4"	"592.5-e"	"2.0.111.1"	[28, -1, 1]	592	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [28, 9], [-269, -45]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(9a+28\\right){x}-45a-269"
"592.5-f1"	"592.5-f"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-18, -13], [99, 15]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-13a-18\\right){x}+15a+99"
"592.5-f2"	"592.5-f"	"2.0.111.1"	[28, -1, 1]	592	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-123, -53], [1268, -340]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-53a-123\\right){x}-340a+1268"
"600.1-a1"	"600.1-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [11, 4], [9, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a+11\\right){x}-3a+9"
"600.1-b1"	"600.1-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-11, 0], [62, -21]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2-11{x}-21a+62"
"600.10-a1"	"600.10-a"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 1], [-8, 0], [3, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3-a{x}^2-8{x}+3"
"600.10-b1"	"600.10-b"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [12, -3], [52, -3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-3a+12\\right){x}-3a+52"
"600.11-a1"	"600.11-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [15, -3], [-6, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-3a+15\\right){x}+3a-6"
"600.11-b1"	"600.11-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-8, -8], [49, 4]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-8a-8\\right){x}+4a+49"
"600.12-a1"	"600.12-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [14, -4], [20, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-4a+14\\right){x}-a+20"
"600.12-b1"	"600.12-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-26, -13], [221, 9]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-13a-26\\right){x}+9a+221"
"600.2-a1"	"600.2-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [12, 3], [-3, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+12\\right){x}-3a-3"
"600.2-b1"	"600.2-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [12, -5], [25, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a+12\\right){x}+2a+25"
"600.3-a1"	"600.3-a"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 1], [-8, 0], [4, -1]]	"{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2-8{x}-a+4"
"600.3-b1"	"600.3-b"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [9, 3], [50, 2]]	"{y}^2+a{y}={x}^3+\\left(3a+9\\right){x}+2a+50"
"600.4-a1"	"600.4-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-389, -22], [3009, 133]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-22a-389\\right){x}+133a+3009"
"600.4-b1"	"600.4-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-213, -480], [-23433, 8580]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-480a-213\\right){x}+8580a-23433"
"600.5-a1"	"600.5-a"	"2.0.111.1"	[28, -1, 1]	600	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [28, -3], [4, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-3a+28\\right){x}+2a+4"
"600.5-a2"	"600.5-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-112, 22], [732, -224]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(22a-112\\right){x}-224a+732"
"600.5-b1"	"600.5-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-30, 3], [-51, 12]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(3a-30\\right){x}+12a-51"
"600.5-b2"	"600.5-b"	"2.0.111.1"	[28, -1, 1]	600	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [250, 208], [-12427, -1549]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(208a+250\\right){x}-1549a-12427"
"600.6-a1"	"600.6-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [539, -38], [1111, 719]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-38a+539\\right){x}+719a+1111"
"600.6-b1"	"600.6-b"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [21, -49], [-94, 50]]	"{y}^2={x}^3-a{x}^2+\\left(-49a+21\\right){x}+50a-94"
"600.6-c1"	"600.6-c"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [55, -9], [-133, 5]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-9a+55\\right){x}+5a-133"
"600.6-d1"	"600.6-d"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [1552, -127], [-9620, 1073]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-127a+1552\\right){x}+1073a-9620"
"600.7-a1"	"600.7-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [501, 36], [1830, -720]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(36a+501\\right){x}-720a+1830"
"600.7-b1"	"600.7-b"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-28, 49], [-44, -50]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(49a-28\\right){x}-50a-44"
"600.7-c1"	"600.7-c"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [58, -5], [-271, 53]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a+58\\right){x}+53a-271"
"600.7-d1"	"600.7-d"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [1424, 127], [-7123, -946]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(127a+1424\\right){x}-946a-7123"
"600.8-a1"	"600.8-a"	"2.0.111.1"	[28, -1, 1]	600	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [25, 1], [6, -3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(a+25\\right){x}-3a+6"
"600.8-a2"	"600.8-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-90, -24], [508, 223]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-24a-90\\right){x}+223a+508"
"600.8-b1"	"600.8-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-28, -3], [-67, -15]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-3a-28\\right){x}-15a-67"
"600.8-b2"	"600.8-b"	"2.0.111.1"	[28, -1, 1]	600	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [457, -208], [-13519, 1341]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-208a+457\\right){x}+1341a-13519"
"600.9-a1"	"600.9-a"	"2.0.111.1"	[28, -1, 1]	600	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-411, 22], [3142, -133]]	"{y}^2={x}^3-a{x}^2+\\left(22a-411\\right){x}-133a+3142"
"600.9-b1"	"600.9-b"	"2.0.111.1"	[28, -1, 1]	600	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-681, 466], [-27445, -9261]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(466a-681\\right){x}-9261a-27445"
"603.1-a1"	"603.1-a"	"2.0.111.1"	[28, -1, 1]	603	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-9, -3], [67, -10]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3a-9\\right){x}-10a+67"
"603.1-b1"	"603.1-b"	"2.0.111.1"	[28, -1, 1]	603	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 0], [-128, -8], [-481, -107]]	"{y}^2+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-8a-128\\right){x}-107a-481"
"603.2-a1"	"603.2-a"	"2.0.111.1"	[28, -1, 1]	603	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-13, 5], [70, 5]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(5a-13\\right){x}+5a+70"
"603.2-b1"	"603.2-b"	"2.0.111.1"	[28, -1, 1]	603	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 0], [-137, 10], [-451, 98]]	"{y}^2+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(10a-137\\right){x}+98a-451"
"623.2-a1"	"623.2-a"	"2.0.111.1"	[28, -1, 1]	623	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 1], [-26, 3], [-100, 9]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(3a-26\\right){x}+9a-100"
"623.2-b1"	"623.2-b"	"2.0.111.1"	[28, -1, 1]	623	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 0], [-140, -12], [-737, -290]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-12a-140\\right){x}-290a-737"
"623.3-a1"	"623.3-a"	"2.0.111.1"	[28, -1, 1]	623	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 1], [-23, -3], [-90, -10]]	"{y}^2+a{y}={x}^3-a{x}^2+\\left(-3a-23\\right){x}-10a-90"
"623.3-b1"	"623.3-b"	"2.0.111.1"	[28, -1, 1]	623	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 1], [-139, -2], [-1042, 151]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-2a-139\\right){x}+151a-1042"
"625.3-a1"	"625.3-a"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-184, -67], [496, 399]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-67a-184\\right){x}+399a+496"
"625.3-a2"	"625.3-a"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 0], [-36934, -14067], [894746, -1859851]]	"{y}^2+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-14067a-36934\\right){x}-1859851a+894746"
"625.3-b1"	"625.3-b"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [-6776, 1867], [-61758, 73074]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(1867a-6776\\right){x}+73074a-61758"
"625.3-b2"	"625.3-b"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [2474, -21383], [-9416383, 1887824]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(-21383a+2474\\right){x}+1887824a-9416383"
"625.3-b3"	"625.3-b"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 0], [107224, -8883], [7416867, 1984074]]	"{y}^2+{y}={x}^3+a{x}^2+\\left(-8883a+107224\\right){x}+1984074a+7416867"
"625.3-c1"	"625.3-c"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [-4909, -1867], [11316, -73074]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-1867a-4909\\right){x}-73074a+11316"
"625.3-c2"	"625.3-c"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [98341, 8883], [9400941, -1984074]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(8883a+98341\\right){x}-1984074a+9400941"
"625.3-c3"	"625.3-c"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 0], [-18909, 21383], [-7528559, -1887824]]	"{y}^2+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(21383a-18909\\right){x}-1887824a-7528559"
"625.3-d1"	"625.3-d"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-251, 67], [895, -399]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(67a-251\\right){x}-399a+895"
"625.3-d2"	"625.3-d"	"2.0.111.1"	[28, -1, 1]	625	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 0], [-51001, 14067], [-965105, 1859851]]	"{y}^2+{y}={x}^3-a{x}^2+\\left(14067a-51001\\right){x}+1859851a-965105"
"630.1-a1"	"630.1-a"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-27, -18], [54, 54]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-18a-27\\right){x}+54a+54"
"630.1-b1"	"630.1-b"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-482, 1], [2967, 579]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a-482\\right){x}+579a+2967"
"630.2-a1"	"630.2-a"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-34339, -16676], [3330362, -2666234]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-16676a-34339\\right){x}-2666234a+3330362"
"630.2-a2"	"630.2-a"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-23359, 1009], [1623746, -127136]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(1009a-23359\\right){x}-127136a+1623746"
"630.2-a3"	"630.2-a"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [7689, 391], [-177027, 61811]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(391a+7689\\right){x}+61811a-177027"
"630.2-a4"	"630.2-a"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [2492, -695], [79504, 2702]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-695a+2492\\right){x}+2702a+79504"
"630.2-a5"	"630.2-a"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [165844, -22653], [-25728838, -3431700]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-22653a+165844\\right){x}-3431700a-25728838"
"630.2-a6"	"630.2-a"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [2653624, -362448], [-1657520710, -221831892]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-362448a+2653624\\right){x}-221831892a-1657520710"
"630.2-b1"	"630.2-b"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [23, 3100], [-631480, -90434]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(3100a+23\\right){x}-90434a-631480"
"630.2-b2"	"630.2-b"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-136, 56], [-208, 268]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(56a-136\\right){x}+268a-208"
"630.2-c1"	"630.2-c"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [129, -49], [-1214, 190]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-49a+129\\right){x}+190a-1214"
"630.2-c2"	"630.2-c"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [586, 1], [18396, -694]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+586\\right){x}-694a+18396"
"630.2-d1"	"630.2-d"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 1], [2788, 13], [40196, -3815]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(13a+2788\\right){x}-3815a+40196"
"630.2-e1"	"630.2-e"	"2.0.111.1"	[28, -1, 1]	630	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [140, 77], [1304, 472]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(77a+140\\right){x}+472a+1304"
"630.2-f1"	"630.2-f"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-919, -218], [2249, 4490]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-218a-919\\right){x}+4490a+2249"
"630.2-f2"	"630.2-f"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-351, 98], [-17319, 740]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(98a-351\\right){x}+740a-17319"
"630.2-g1"	"630.2-g"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [14436, -1749], [600384, 100128]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-1749a+14436\\right){x}+100128a+600384"
"630.2-g2"	"630.2-g"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-2111, 79], [-37215, 904]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(79a-2111\\right){x}+904a-37215"
"630.2-h1"	"630.2-h"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-15616, -34], [-866179, -15650]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-34a-15616\\right){x}-15650a-866179"
"630.2-h2"	"630.2-h"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-1216, 686], [-49411, -19970]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(686a-1216\\right){x}-19970a-49411"
"630.2-h3"	"630.2-h"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [845, 44], [6149, -1991]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(44a+845\\right){x}-1991a+6149"
"630.2-h4"	"630.2-h"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-12492, -4170], [97500, -257361]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-4170a-12492\\right){x}-257361a+97500"
"630.2-h5"	"630.2-h"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [12340, 36604], [26340012, 3308299]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(36604a+12340\\right){x}+3308299a+26340012"
"630.2-h6"	"630.2-h"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [197560, 585649], [1702173528, 210803650]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(585649a+197560\\right){x}+210803650a+1702173528"
"630.3-a1"	"630.3-a"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 1], [-393, -177], [-971, 3049]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-177a-393\\right){x}+3049a-971"
"630.3-b1"	"630.3-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [27, -3], [-43, -6]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-3a+27\\right){x}-6a-43"
"630.3-b2"	"630.3-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [144, -18], [194, 129]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-18a+144\\right){x}+129a+194"
"630.3-c1"	"630.3-c"	"2.0.111.1"	[28, -1, 1]	630	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [241, -27], [919, 189]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-27a+241\\right){x}+189a+919"
"630.3-c2"	"630.3-c"	"2.0.111.1"	[28, -1, 1]	630	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [667, 84], [-7031, 1059]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(84a+667\\right){x}+1059a-7031"
"630.3-d1"	"630.3-d"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 0], [1086, 0], [-1599, -2632]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+1086{x}-2632a-1599"
"630.4-a1"	"630.4-a"	"2.0.111.1"	[28, -1, 1]	630	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-1101, 438], [11353, 8541]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(438a-1101\\right){x}+8541a+11353"
"630.4-b1"	"630.4-b"	"2.0.111.1"	[28, -1, 1]	630	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [2479, -63], [-10023, -8733]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-63a+2479\\right){x}-8733a-10023"
"630.5-a1"	"630.5-a"	"2.0.111.1"	[28, -1, 1]	630	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [2416, 63], [-18756, 8733]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(63a+2416\\right){x}+8733a-18756"
"630.5-b1"	"630.5-b"	"2.0.111.1"	[28, -1, 1]	630	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-663, -438], [19894, -8541]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-438a-663\\right){x}-8541a+19894"
"630.6-a1"	"630.6-a"	"2.0.111.1"	[28, -1, 1]	630	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [214, 27], [1108, -189]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(27a+214\\right){x}-189a+1108"
"630.6-a2"	"630.6-a"	"2.0.111.1"	[28, -1, 1]	630	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [751, -84], [-5972, -1059]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-84a+751\\right){x}-1059a-5972"
"630.6-b1"	"630.6-b"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 1], [-569, 175], [2078, -3050]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(175a-569\\right){x}-3050a+2078"
"630.6-c1"	"630.6-c"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 0], [1087, -1], [-4231, 2632]]	"{y}^2+a{x}{y}+{y}={x}^3-{x}^2+\\left(-a+1087\\right){x}+2632a-4231"
"630.6-d1"	"630.6-d"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [24, 3], [-49, 6]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(3a+24\\right){x}+6a-49"
"630.6-d2"	"630.6-d"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [128, 16], [324, -130]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(16a+128\\right){x}-130a+324"
"630.7-a1"	"630.7-a"	"2.0.111.1"	[28, -1, 1]	630	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [216, -75], [1992, -549]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-75a+216\\right){x}-549a+1992"
"630.7-b1"	"630.7-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-51015, 16676], [664128, 2666234]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(16676a-51015\\right){x}+2666234a+664128"
"630.7-b2"	"630.7-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-22350, -1009], [1496610, 127136]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-1009a-22350\\right){x}+127136a+1496610"
"630.7-b3"	"630.7-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [8080, -392], [-115216, -61812]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-392a+8080\\right){x}-61812a-115216"
"630.7-b4"	"630.7-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [1797, 693], [82206, -2703]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(693a+1797\\right){x}-2703a+82206"
"630.7-b5"	"630.7-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [143191, 22653], [-29160538, 3431700]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(22653a+143191\\right){x}+3431700a-29160538"
"630.7-b6"	"630.7-b"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [2291176, 362448], [-1879352602, 221831892]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(362448a+2291176\\right){x}+221831892a-1879352602"
"630.7-c1"	"630.7-c"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [3123, -3100], [-721914, 90434]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-3100a+3123\\right){x}+90434a-721914"
"630.7-c2"	"630.7-c"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-55, -67], [1822, -322]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-67a-55\\right){x}-322a+1822"
"630.7-d1"	"630.7-d"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [66, 36], [-2214, -75]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(36a+66\\right){x}-75a-2214"
"630.7-d2"	"630.7-d"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [587, -1], [17702, 694]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-a+587\\right){x}+694a+17702"
"630.7-e1"	"630.7-e"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-1137, 218], [6739, -4490]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(218a-1137\\right){x}-4490a+6739"
"630.7-e2"	"630.7-e"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-253, -98], [-16579, -740]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-98a-253\\right){x}-740a-16579"
"630.7-f1"	"630.7-f"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [12687, 1749], [700512, -100128]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(1749a+12687\\right){x}-100128a+700512"
"630.7-f2"	"630.7-f"	"2.0.111.1"	[28, -1, 1]	630	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-2032, -79], [-36311, -904]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-79a-2032\\right){x}-904a-36311"
"630.7-g1"	"630.7-g"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-15623, 21], [-866962, 13]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(21a-15623\\right){x}+13a-866962"
"630.7-g2"	"630.7-g"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-503, -699], [-49474, 19453]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-699a-503\\right){x}+19453a-49474"
"630.7-g3"	"630.7-g"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [889, -44], [4158, 1991]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-44a+889\\right){x}+1991a+4158"
"630.7-g4"	"630.7-g"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-16662, 4170], [-159861, 257361]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4170a-16662\\right){x}+257361a-159861"
"630.7-g5"	"630.7-g"	"2.0.111.1"	[28, -1, 1]	630	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [48944, -36604], [29648311, -3308299]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-36604a+48944\\right){x}-3308299a+29648311"
"630.7-g6"	"630.7-g"	"2.0.111.1"	[28, -1, 1]	630	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [783209, -585649], [1912977178, -210803650]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-585649a+783209\\right){x}-210803650a+1912977178"
"630.7-h1"	"630.7-h"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 1], [2802, -15], [36381, 3814]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-15a+2802\\right){x}+3814a+36381"
"630.8-a1"	"630.8-a"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-480, -2], [3547, -580]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-2a-480\\right){x}-580a+3547"
"630.8-b1"	"630.8-b"	"2.0.111.1"	[28, -1, 1]	630	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-59, 7], [-228, -80]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(7a-59\\right){x}-80a-228"
"640.13-a1"	"640.13-a"	"2.0.111.1"	[28, -1, 1]	640	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-51, -2], [149, -46]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-2a-51\\right){x}-46a+149"
"640.13-b1"	"640.13-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-915, 88], [-8914, 1304]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(88a-915\\right){x}+1304a-8914"
"640.13-b2"	"640.13-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-1755, -232], [20990, 9952]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-232a-1755\\right){x}+9952a+20990"
"640.13-b3"	"640.13-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [10, 3], [84, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(3a+10\\right){x}+6a+84"
"640.13-b4"	"640.13-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [1457, -323], [34882, 2327]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-323a+1457\\right){x}+2327a+34882"
"640.13-c1"	"640.13-c"	"2.0.111.1"	[28, -1, 1]	640	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-260, -24], [1360, 336]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-24a-260\\right){x}+336a+1360"
"640.13-d1"	"640.13-d"	"2.0.111.1"	[28, -1, 1]	640	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [814, 101], [8128, -1661]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(101a+814\\right){x}-1661a+8128"
"640.13-d2"	"640.13-d"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-346, 421], [-15624, -11005]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(421a-346\\right){x}-11005a-15624"
"640.13-d3"	"640.13-d"	"2.0.111.1"	[28, -1, 1]	640	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-249, 8], [-1655, 214]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(8a-249\\right){x}+214a-1655"
"640.13-d4"	"640.13-d"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [325, 12], [-882, 434]]	"{y}^2={x}^3+\\left(12a+325\\right){x}+434a-882"
"640.14-a1"	"640.14-a"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [126, 3], [-392, 78]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(3a+126\\right){x}+78a-392"
"640.14-b1"	"640.14-b"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-2, -6], [12, 4]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-6a-2\\right){x}+4a+12"
"640.3-a1"	"640.3-a"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [131, -5], [-313, -79]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a+131\\right){x}-79a-313"
"640.3-b1"	"640.3-b"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [19, -7], [-3, 15]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-7a+19\\right){x}+15a-3"
"640.4-a1"	"640.4-a"	"2.0.111.1"	[28, -1, 1]	640	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-25, -11], [243, 9]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-11a-25\\right){x}+9a+243"
"640.4-b1"	"640.4-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-825, -90], [-7609, -1305]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-90a-825\\right){x}-1305a-7609"
"640.4-b2"	"640.4-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [15, -5], [91, -7]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a+15\\right){x}-7a+91"
"640.4-b3"	"640.4-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-1985, 230], [30943, -9953]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(230a-1985\\right){x}-9953a+30943"
"640.4-b4"	"640.4-b"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [1136, 321], [37210, -2328]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(321a+1136\\right){x}-2328a+37210"
"640.4-c1"	"640.4-c"	"2.0.111.1"	[28, -1, 1]	640	2	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-284, 24], [1696, -336]]	"{y}^2+a{x}{y}={x}^3+\\left(24a-284\\right){x}-336a+1696"
"640.4-d1"	"640.4-d"	"2.0.111.1"	[28, -1, 1]	640	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [915, -101], [6467, 1661]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-101a+915\\right){x}+1661a+6467"
"640.4-d2"	"640.4-d"	"2.0.111.1"	[28, -1, 1]	640	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-241, -8], [-1441, -214]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-8a-241\\right){x}-214a-1441"
"640.4-d3"	"640.4-d"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [75, -421], [-26629, 11005]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-421a+75\\right){x}+11005a-26629"
"640.4-d4"	"640.4-d"	"2.0.111.1"	[28, -1, 1]	640	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [337, -12], [-448, -434]]	"{y}^2={x}^3+\\left(-12a+337\\right){x}-434a-448"
"640.8-a1"	"640.8-a"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [299, 28], [-1069, -24]]	"{y}^2={x}^3+{x}^2+\\left(28a+299\\right){x}-24a-1069"
"640.8-b1"	"640.8-b"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-308, 39], [1540, 113]]	"{y}^2={x}^3-a{x}^2+\\left(39a-308\\right){x}+113a+1540"
"640.9-a1"	"640.9-a"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-269, -39], [1653, -113]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-39a-269\\right){x}-113a+1653"
"640.9-b1"	"640.9-b"	"2.0.111.1"	[28, -1, 1]	640	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [327, -28], [-1093, 24]]	"{y}^2={x}^3+{x}^2+\\left(-28a+327\\right){x}+24a-1093"
"644.5-a1"	"644.5-a"	"2.0.111.1"	[28, -1, 1]	644	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-23775, -3145], [1229366, 298964]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-3145a-23775\\right){x}+298964a+1229366"
"644.5-a2"	"644.5-a"	"2.0.111.1"	[28, -1, 1]	644	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-7675, -4280], [414678, -268872]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-4280a-7675\\right){x}-268872a+414678"
"644.5-a3"	"644.5-a"	"2.0.111.1"	[28, -1, 1]	644	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-255, -65], [3190, 148]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-65a-255\\right){x}+148a+3190"
"644.5-b1"	"644.5-b"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [26, 9], [-128, 61]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(9a+26\\right){x}+61a-128"
"644.5-b2"	"644.5-b"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-2739, 179], [41697, -6664]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(179a-2739\\right){x}-6664a+41697"
"644.5-c1"	"644.5-c"	"2.0.111.1"	[28, -1, 1]	644	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-4, -7], [48, 8]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-7a-4\\right){x}+8a+48"
"644.5-c2"	"644.5-c"	"2.0.111.1"	[28, -1, 1]	644	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-109, 78], [-3403, -633]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(78a-109\\right){x}-633a-3403"
"644.5-d1"	"644.5-d"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-172368, 18220], [24303580, -4306532]]	"{y}^2+{x}{y}={x}^3+\\left(18220a-172368\\right){x}-4306532a+24303580"
"644.5-d2"	"644.5-d"	"2.0.111.1"	[28, -1, 1]	644	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-152803, -1440], [-22982015, -325952]]	"{y}^2+{x}{y}={x}^3+\\left(-1440a-152803\\right){x}-325952a-22982015"
"644.5-d3"	"644.5-d"	"2.0.111.1"	[28, -1, 1]	644	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-2828, 160], [2128, -7104]]	"{y}^2+{x}{y}={x}^3+\\left(160a-2828\\right){x}-7104a+2128"
"644.6-a1"	"644.6-a"	"2.0.111.1"	[28, -1, 1]	644	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [-424, 91], [8710, -415]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(91a-424\\right){x}-415a+8710"
"644.6-a2"	"644.6-a"	"2.0.111.1"	[28, -1, 1]	644	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [366, -12], [-812, -384]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-12a+366\\right){x}-384a-812"
"644.6-b1"	"644.6-b"	"2.0.111.1"	[28, -1, 1]	644	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [207444, 26811], [-43500108, 6370793]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(26811a+207444\\right){x}+6370793a-43500108"
"644.6-b2"	"644.6-b"	"2.0.111.1"	[28, -1, 1]	644	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-5951, -909], [-139175, -48669]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-909a-5951\\right){x}-48669a-139175"
"644.6-c1"	"644.6-c"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-8459, 7920], [-1538598, -540457]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(7920a-8459\\right){x}-540457a-1538598"
"644.6-c2"	"644.6-c"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [361, -235], [15094, -1282]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-235a+361\\right){x}-1282a+15094"
"644.6-d1"	"644.6-d"	"2.0.111.1"	[28, -1, 1]	644	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-68, -5], [280, 95]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-5a-68\\right){x}+95a+280"
"644.6-d2"	"644.6-d"	"2.0.111.1"	[28, -1, 1]	644	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [31, -2], [37, 26]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-2a+31\\right){x}+26a+37"
"644.7-a1"	"644.7-a"	"2.0.111.1"	[28, -1, 1]	644	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [-332, -92], [8296, 414]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-92a-332\\right){x}+414a+8296"
"644.7-a2"	"644.7-a"	"2.0.111.1"	[28, -1, 1]	644	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [354, 12], [-1196, 384]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(12a+354\\right){x}+384a-1196"
"644.7-b1"	"644.7-b"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [126, 235], [13812, 1282]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(235a+126\\right){x}+1282a+13812"
"644.7-b2"	"644.7-b"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-539, -7920], [-2079055, 540457]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-7920a-539\\right){x}+540457a-2079055"
"644.7-c1"	"644.7-c"	"2.0.111.1"	[28, -1, 1]	644	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-6860, 909], [-187844, 48669]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(909a-6860\\right){x}+48669a-187844"
"644.7-c2"	"644.7-c"	"2.0.111.1"	[28, -1, 1]	644	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [234255, -26811], [-37129315, -6370793]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-26811a+234255\\right){x}-6370793a-37129315"
"644.7-d1"	"644.7-d"	"2.0.111.1"	[28, -1, 1]	644	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-73, 3], [375, -96]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a-73\\right){x}-96a+375"
"644.7-d2"	"644.7-d"	"2.0.111.1"	[28, -1, 1]	644	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [30, 1], [64, -27]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(a+30\\right){x}-27a+64"
"644.8-a1"	"644.8-a"	"2.0.111.1"	[28, -1, 1]	644	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-26920, 3143], [1528330, -298965]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(3143a-26920\\right){x}-298965a+1528330"
"644.8-a2"	"644.8-a"	"2.0.111.1"	[28, -1, 1]	644	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-11955, 4278], [145806, 268871]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(4278a-11955\\right){x}+268871a+145806"
"644.8-a3"	"644.8-a"	"2.0.111.1"	[28, -1, 1]	644	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-320, 63], [3338, -149]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(63a-320\\right){x}-149a+3338"
"644.8-b1"	"644.8-b"	"2.0.111.1"	[28, -1, 1]	644	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [16, -6], [12, 8]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-6a+16\\right){x}+8a+12"
"644.8-b2"	"644.8-b"	"2.0.111.1"	[28, -1, 1]	644	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-4, -91], [-1680, 629]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-91a-4\\right){x}+629a-1680"
"644.8-c1"	"644.8-c"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [35, -10], [-67, -62]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-10a+35\\right){x}-62a-67"
"644.8-c2"	"644.8-c"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-2560, -180], [35033, 6663]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-180a-2560\\right){x}+6663a+35033"
"644.8-d1"	"644.8-d"	"2.0.111.1"	[28, -1, 1]	644	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-154148, -18220], [19997048, 4306532]]	"{y}^2+{x}{y}={x}^3+\\left(-18220a-154148\\right){x}+4306532a+19997048"
"644.8-d2"	"644.8-d"	"2.0.111.1"	[28, -1, 1]	644	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-154243, 1440], [-23307967, 325952]]	"{y}^2+{x}{y}={x}^3+\\left(1440a-154243\\right){x}+325952a-23307967"
"644.8-d3"	"644.8-d"	"2.0.111.1"	[28, -1, 1]	644	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-2668, -160], [-4976, 7104]]	"{y}^2+{x}{y}={x}^3+\\left(-160a-2668\\right){x}+7104a-4976"
"669.1-a1"	"669.1-a"	"2.0.111.1"	[28, -1, 1]	669	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [17, -7], [37, -6]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-7a+17\\right){x}-6a+37"
"669.1-b1"	"669.1-b"	"2.0.111.1"	[28, -1, 1]	669	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [1, 1], [25, -3], [0, 3]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-3a+25\\right){x}+3a"
"669.2-a1"	"669.2-a"	"2.0.111.1"	[28, -1, 1]	669	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [11, 5], [32, 5]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(5a+11\\right){x}+5a+32"
"669.2-b1"	"669.2-b"	"2.0.111.1"	[28, -1, 1]	669	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 1], [23, 1], [4, -4]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+23\\right){x}-4a+4"
"672.10-a1"	"672.10-a"	"2.0.111.1"	[28, -1, 1]	672	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [383, -84], [4836, 599]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-84a+383\\right){x}+599a+4836"
"672.10-a2"	"672.10-a"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-116, 60], [-3296, -284]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(60a-116\\right){x}-284a-3296"
"672.10-a3"	"672.10-a"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [57, 6], [-314, -51]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(6a+57\\right){x}-51a-314"
"672.10-a4"	"672.10-a"	"2.0.111.1"	[28, -1, 1]	672	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [6143, -1224], [285876, 21539]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-1224a+6143\\right){x}+21539a+285876"
"672.10-b1"	"672.10-b"	"2.0.111.1"	[28, -1, 1]	672	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [80, 4], [-164, 52]]	"{y}^2={x}^3-{x}^2+\\left(4a+80\\right){x}+52a-164"
"672.10-b2"	"672.10-b"	"2.0.111.1"	[28, -1, 1]	672	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [312, -19], [3136, 412]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-19a+312\\right){x}+412a+3136"
"672.10-b3"	"672.10-b"	"2.0.111.1"	[28, -1, 1]	672	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [32, -4], [-9, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-4a+32\\right){x}+3a-9"
"672.10-b4"	"672.10-b"	"2.0.111.1"	[28, -1, 1]	672	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [1280, 64], [-9188, 3364]]	"{y}^2={x}^3-{x}^2+\\left(64a+1280\\right){x}+3364a-9188"
"672.3-a1"	"672.3-a"	"2.0.111.1"	[28, -1, 1]	672	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [328, 69], [2980, -286]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(69a+328\\right){x}-286a+2980"
"672.3-a2"	"672.3-a"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-56, -60], [-3580, 284]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-60a-56\\right){x}+284a-3580"
"672.3-a3"	"672.3-a"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [65, -8], [-364, 50]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-8a+65\\right){x}+50a-364"
"672.3-a4"	"672.3-a"	"2.0.111.1"	[28, -1, 1]	672	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [4948, 1209], [268420, -16606]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(1209a+4948\\right){x}-16606a+268420"
"672.3-b1"	"672.3-b"	"2.0.111.1"	[28, -1, 1]	672	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [84, -4], [-112, -52]]	"{y}^2={x}^3-{x}^2+\\left(-4a+84\\right){x}-52a-112"
"672.3-b2"	"672.3-b"	"2.0.111.1"	[28, -1, 1]	672	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [320, 6], [2864, -92]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(6a+320\\right){x}-92a+2864"
"672.3-b3"	"672.3-b"	"2.0.111.1"	[28, -1, 1]	672	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [30, 2], [-5, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(2a+30\\right){x}-4a-5"
"672.3-b4"	"672.3-b"	"2.0.111.1"	[28, -1, 1]	672	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [1344, -64], [-5824, -3364]]	"{y}^2={x}^3-{x}^2+\\left(-64a+1344\\right){x}-3364a-5824"
"672.6-a1"	"672.6-a"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-31, -9], [-118, 43]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-9a-31\\right){x}+43a-118"
"672.6-a2"	"672.6-a"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [184, -19], [824, 130]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-19a+184\\right){x}+130a+824"
"672.6-b1"	"672.6-b"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-4, -1], [0, 0]]	"{y}^2={x}^3+a{x}^2+\\left(-a-4\\right){x}"
"672.6-b2"	"672.6-b"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [16, 4], [-112, 20]]	"{y}^2={x}^3+a{x}^2+\\left(4a+16\\right){x}+20a-112"
"672.6-c1"	"672.6-c"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [318, -57], [-839, -423]]	"{y}^2={x}^3+\\left(-57a+318\\right){x}-423a-839"
"672.6-c2"	"672.6-c"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-1248, -5], [-11424, 1036]]	"{y}^2={x}^3+{x}^2+\\left(-5a-1248\\right){x}+1036a-11424"
"672.6-d1"	"672.6-d"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [26, -6], [-27, 7]]	"{y}^2={x}^3-a{x}^2+\\left(-6a+26\\right){x}+7a-27"
"672.6-d2"	"672.6-d"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-119, 34], [666, 147]]	"{y}^2={x}^3-a{x}^2+\\left(34a-119\\right){x}+147a+666"
"672.7-a1"	"672.7-a"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [165, 19], [954, -130]]	"{y}^2={x}^3+a{x}^2+\\left(19a+165\\right){x}-130a+954"
"672.7-a2"	"672.7-a"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-40, 9], [-75, -43]]	"{y}^2={x}^3+a{x}^2+\\left(9a-40\\right){x}-43a-75"
"672.7-b1"	"672.7-b"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [20, -4], [-92, -20]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-4a+20\\right){x}-20a-92"
"672.7-b2"	"672.7-b"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-5, 1], [0, 0]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(a-5\\right){x}"
"672.7-c1"	"672.7-c"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [261, 57], [-1262, 423]]	"{y}^2={x}^3+\\left(57a+261\\right){x}+423a-1262"
"672.7-c2"	"672.7-c"	"2.0.111.1"	[28, -1, 1]	672	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-1253, 5], [-10388, -1036]]	"{y}^2={x}^3+{x}^2+\\left(5a-1253\\right){x}-1036a-10388"
"672.7-d1"	"672.7-d"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [20, 6], [-20, -7]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(6a+20\\right){x}-7a-20"
"672.7-d2"	"672.7-d"	"2.0.111.1"	[28, -1, 1]	672	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-85, -34], [813, -147]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-34a-85\\right){x}-147a+813"
"676.2-a1"	"676.2-a"	"2.0.111.1"	[28, -1, 1]	676	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-1914, 0], [35846, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-1914{x}+35846"
"676.2-a2"	"676.2-a"	"2.0.111.1"	[28, -1, 1]	676	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-24, 0], [-64, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-24{x}-64"
"676.2-b1"	"676.2-b"	"2.0.111.1"	[28, -1, 1]	676	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-460, 0], [-3830, 0]]	"{y}^2+{x}{y}+{y}={x}^3-460{x}-3830"
"676.2-b2"	"676.2-b"	"2.0.111.1"	[28, -1, 1]	676	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-5, 0], [-8, 0]]	"{y}^2+{x}{y}+{y}={x}^3-5{x}-8"
"676.2-b3"	"676.2-b"	"2.0.111.1"	[28, -1, 1]	676	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [0, 0], [0, 0]]	"{y}^2+{x}{y}+{y}={x}^3"
"676.2-c1"	"676.2-c"	"2.0.111.1"	[28, -1, 1]	676	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-213, 0], [-1257, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-213{x}-1257"
"676.2-c2"	"676.2-c"	"2.0.111.1"	[28, -1, 1]	676	0	[7]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-3, 0], [3, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-3{x}+3"
"676.2-d1"	"676.2-d"	"2.0.111.1"	[28, -1, 1]	676	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-4136, 0], [103403, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-4136{x}+103403"
"676.2-d2"	"676.2-d"	"2.0.111.1"	[28, -1, 1]	676	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-41, 0], [209, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-41{x}+209"
"676.2-d3"	"676.2-d"	"2.0.111.1"	[28, -1, 1]	676	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [4, 0], [-7, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+4{x}-7"
"678.2-a1"	"678.2-a"	"2.0.111.1"	[28, -1, 1]	678	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [4, -5], [20, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-5a+4\\right){x}+20"
"678.2-a2"	"678.2-a"	"2.0.111.1"	[28, -1, 1]	678	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 0], [589, 40], [-5218, 1080]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(40a+589\\right){x}+1080a-5218"
"678.2-b1"	"678.2-b"	"2.0.111.1"	[28, -1, 1]	678	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [28, 0], [-2, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+28{x}-a-2"
"678.2-b2"	"678.2-b"	"2.0.111.1"	[28, -1, 1]	678	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 1], [93, 5], [-3, -56]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-a{x}^2+\\left(5a+93\\right){x}-56a-3"
"678.3-a1"	"678.3-a"	"2.0.111.1"	[28, -1, 1]	678	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [0, 4], [20, 0]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+4a{x}+20"
"678.3-a2"	"678.3-a"	"2.0.111.1"	[28, -1, 1]	678	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 0], [630, -41], [-4138, -1080]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-41a+630\\right){x}-1080a-4138"
"678.3-b1"	"678.3-b"	"2.0.111.1"	[28, -1, 1]	678	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [29, -2], [-3, 0]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-2a+29\\right){x}-3"
"678.3-b2"	"678.3-b"	"2.0.111.1"	[28, -1, 1]	678	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 1], [99, -7], [-59, 55]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-7a+99\\right){x}+55a-59"
"680.12-a1"	"680.12-a"	"2.0.111.1"	[28, -1, 1]	680	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [404, -53], [1800, 772]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-53a+404\\right){x}+772a+1800"
"680.12-a2"	"680.12-a"	"2.0.111.1"	[28, -1, 1]	680	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-31, 2], [-25, -3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(2a-31\\right){x}-3a-25"
"680.12-b1"	"680.12-b"	"2.0.111.1"	[28, -1, 1]	680	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [20, -18], [253, -6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-18a+20\\right){x}-6a+253"
"680.12-b2"	"680.12-b"	"2.0.111.1"	[28, -1, 1]	680	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [25, -3], [-1, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-3a+25\\right){x}-1"
"680.5-a1"	"680.5-a"	"2.0.111.1"	[28, -1, 1]	680	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [379, 40], [1284, -354]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(40a+379\\right){x}-354a+1284"
"680.5-a2"	"680.5-a"	"2.0.111.1"	[28, -1, 1]	680	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-1, -15], [224, -14]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-15a-1\\right){x}-14a+224"
"680.5-b1"	"680.5-b"	"2.0.111.1"	[28, -1, 1]	680	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [3, 18], [245, -12]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(18a+3\\right){x}-12a+245"
"680.5-b2"	"680.5-b"	"2.0.111.1"	[28, -1, 1]	680	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [23, 3], [-23, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(3a+23\\right){x}-3a-23"
"687.1-a1"	"687.1-a"	"2.0.111.1"	[28, -1, 1]	687	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [224, -9], [1415, -317]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-9a+224\\right){x}-317a+1415"
"687.1-b1"	"687.1-b"	"2.0.111.1"	[28, -1, 1]	687	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-88, 42], [-1469, 269]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(42a-88\\right){x}+269a-1469"
"687.2-a1"	"687.2-a"	"2.0.111.1"	[28, -1, 1]	687	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-46, -43], [-1200, -270]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-43a-46\\right){x}-270a-1200"
"687.2-b1"	"687.2-b"	"2.0.111.1"	[28, -1, 1]	687	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [215, 9], [1098, 317]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(9a+215\\right){x}+317a+1098"
"690.4-a1"	"690.4-a"	"2.0.111.1"	[28, -1, 1]	690	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [133, 60], [-2570, -32]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(60a+133\\right){x}-32a-2570"
"690.4-a2"	"690.4-a"	"2.0.111.1"	[28, -1, 1]	690	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [213, 46], [-2411, 149]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(46a+213\\right){x}+149a-2411"
"690.4-a3"	"690.4-a"	"2.0.111.1"	[28, -1, 1]	690	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [33, 1], [-35, -13]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(a+33\\right){x}-13a-35"
"690.4-a4"	"690.4-a"	"2.0.111.1"	[28, -1, 1]	690	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-120, 13], [208, -64]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(13a-120\\right){x}-64a+208"
"690.4-b1"	"690.4-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [72, 1], [-152, 26]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(a+72\\right){x}+26a-152"
"690.4-b2"	"690.4-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [14, 6], [133, -16]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6a+14\\right){x}-16a+133"
"690.4-b3"	"690.4-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-6, 1], [5, 0]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-6\\right){x}+5"
"690.4-b4"	"690.4-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-4, -7], [88, 3]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a-4\\right){x}+3a+88"
"690.5-a1"	"690.5-a"	"2.0.111.1"	[28, -1, 1]	690	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [194, -61], [-2601, 31]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-61a+194\\right){x}+31a-2601"
"690.5-a2"	"690.5-a"	"2.0.111.1"	[28, -1, 1]	690	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [259, -47], [-2262, -150]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-47a+259\\right){x}-150a-2262"
"690.5-a3"	"690.5-a"	"2.0.111.1"	[28, -1, 1]	690	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [34, -2], [-48, 12]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-2a+34\\right){x}+12a-48"
"690.5-a4"	"690.5-a"	"2.0.111.1"	[28, -1, 1]	690	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-109, -11], [252, 76]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-11a-109\\right){x}+76a+252"
"690.5-b1"	"690.5-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [73, -1], [-126, -26]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+73\\right){x}-26a-126"
"690.5-b2"	"690.5-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [20, -4], [137, 11]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-4a+20\\right){x}+11a+137"
"690.5-b3"	"690.5-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-5, 1], [0, 0]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-5\\right){x}"
"690.5-b4"	"690.5-b"	"2.0.111.1"	[28, -1, 1]	690	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-26, -6], [75, -15]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-6a-26\\right){x}-15a+75"
"700.10-a1"	"700.10-a"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [222, -47], [12648, 429]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-47a+222\\right){x}+429a+12648"
"700.10-a2"	"700.10-a"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [262, 73], [3528, -307]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(73a+262\\right){x}-307a+3528"
"700.10-b1"	"700.10-b"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-162649, 42716], [7006603, -10231242]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(42716a-162649\\right){x}-10231242a+7006603"
"700.10-b2"	"700.10-b"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [9521, 3706], [2148881, -299576]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(3706a+9521\\right){x}-299576a+2148881"
"700.10-b3"	"700.10-b"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [7241, -2579], [151601, -58361]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-2579a+7241\\right){x}-58361a+151601"
"700.10-b4"	"700.10-b"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [3761, -2139], [476393, -38737]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-2139a+3761\\right){x}-38737a+476393"
"700.10-c1"	"700.10-c"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [18759, 6880], [-3541307, 25654]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(6880a+18759\\right){x}+25654a-3541307"
"700.10-c2"	"700.10-c"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [3649, -50], [-109967, -21702]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-50a+3649\\right){x}-21702a-109967"
"700.10-c3"	"700.10-c"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-1331, -350], [-14903, -558]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-350a-1331\\right){x}-558a-14903"
"700.10-c4"	"700.10-c"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-1291, -230], [-8871, -4990]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-230a-1291\\right){x}-4990a-8871"
"700.10-d1"	"700.10-d"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [1824, 51], [-66584, 38980]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(51a+1824\\right){x}+38980a-66584"
"700.10-d2"	"700.10-d"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-1656, 491], [-2096, 11516]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(491a-1656\\right){x}+11516a-2096"
"700.12-a1"	"700.12-a"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [14, -7], [32, -3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-7a+14\\right){x}-3a+32"
"700.12-b1"	"700.12-b"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [1, -1], [9, 0]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-a+1\\right){x}+9"
"700.12-b2"	"700.12-b"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-115, -3], [-443, -44]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-3a-115\\right){x}-44a-443"
"700.12-c1"	"700.12-c"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [4, -5], [-41, -12]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a+4\\right){x}-12a-41"
"700.12-c2"	"700.12-c"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [16, -10], [96, 6]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-10a+16\\right){x}+6a+96"
"700.12-d1"	"700.12-d"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [166, -37], [1416, 53]]	"{y}^2+{x}{y}={x}^3+\\left(-37a+166\\right){x}+53a+1416"
"700.17-a1"	"700.17-a"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [78, -9], [1109, -120]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-9a+78\\right){x}-120a+1109"
"700.17-b1"	"700.17-b"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 1], [9, -1], [-37, 4]]	"{y}^2+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-a+9\\right){x}+4a-37"
"700.2-a1"	"700.2-a"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [69, 9], [990, 119]]	"{y}^2+a{y}={x}^3+\\left(9a+69\\right){x}+119a+990"
"700.2-b1"	"700.2-b"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 1], [8, 1], [-32, -5]]	"{y}^2+a{y}={x}^3-{x}^2+\\left(a+8\\right){x}-5a-32"
"700.7-a1"	"700.7-a"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [9, 5], [30, 2]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(5a+9\\right){x}+2a+30"
"700.7-b1"	"700.7-b"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [0, 4], [-52, 11]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+4a{x}+11a-52"
"700.7-b2"	"700.7-b"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-8, -5], [32, -5]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-5a-8\\right){x}-5a+32"
"700.7-c1"	"700.7-c"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [0, 0], [9, -1]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2-a+9"
"700.7-c2"	"700.7-c"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-118, 2], [-487, 43]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(2a-118\\right){x}+43a-487"
"700.7-d1"	"700.7-d"	"2.0.111.1"	[28, -1, 1]	700	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [129, 37], [1469, -53]]	"{y}^2+{x}{y}={x}^3+\\left(37a+129\\right){x}-53a+1469"
"700.9-a1"	"700.9-a"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [1875, -52], [-27604, -38981]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-52a+1875\\right){x}-38981a-27604"
"700.9-a2"	"700.9-a"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-1165, -492], [9420, -11517]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-492a-1165\\right){x}-11517a+9420"
"700.9-b1"	"700.9-b"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [25640, -6880], [-3541292, -18774]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6880a+25640\\right){x}-18774a-3541292"
"700.9-b2"	"700.9-b"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [3600, 50], [-135268, 21652]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(50a+3600\\right){x}+21652a-135268"
"700.9-b3"	"700.9-b"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-1680, 350], [-13780, 208]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(350a-1680\\right){x}+208a-13780"
"700.9-b4"	"700.9-b"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-1520, 230], [-12340, 4760]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(230a-1520\\right){x}+4760a-12340"
"700.9-c1"	"700.9-c"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-119935, -42714], [-3104705, 10273957]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-42714a-119935\\right){x}+10273957a-3104705"
"700.9-c2"	"700.9-c"	"2.0.111.1"	[28, -1, 1]	700	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [13225, -3704], [1836079, 303281]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-3704a+13225\\right){x}+303281a+1836079"
"700.9-c3"	"700.9-c"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [4660, 2581], [88579, 55781]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2581a+4660\\right){x}+55781a+88579"
"700.9-c4"	"700.9-c"	"2.0.111.1"	[28, -1, 1]	700	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [1620, 2141], [436035, 36597]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2141a+1620\\right){x}+36597a+436035"
"700.9-d1"	"700.9-d"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [177, 45], [13078, -430]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(45a+177\\right){x}-430a+13078"
"700.9-d2"	"700.9-d"	"2.0.111.1"	[28, -1, 1]	700	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [337, -75], [3222, 306]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-75a+337\\right){x}+306a+3222"
"714.1-a1"	"714.1-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-2247, 341], [-36155, 9340]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(341a-2247\\right){x}+9340a-36155"
"714.1-a2"	"714.1-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-33, -38], [773, -199]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-38a-33\\right){x}-199a+773"
"714.1-a3"	"714.1-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [133, 76], [-5775, 75]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(76a+133\\right){x}+75a-5775"
"714.1-a4"	"714.1-a"	"2.0.111.1"	[28, -1, 1]	714	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-2761, -453], [39893, 14433]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-453a-2761\\right){x}+14433a+39893"
"714.1-b1"	"714.1-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [94, 80], [3459, 116]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(80a+94\\right){x}+116a+3459"
"714.1-b2"	"714.1-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-13, -4], [-67, 11]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-4a-13\\right){x}+11a-67"
"714.1-b3"	"714.1-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [94, 0], [-125, 52]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+94{x}+52a-125"
"714.1-b4"	"714.1-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [3655, -281], [-42199, -13090]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-281a+3655\\right){x}-13090a-42199"
"714.2-a1"	"714.2-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [3, 13], [44, -41]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(13a+3\\right){x}-41a+44"
"714.2-a2"	"714.2-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [24, 28], [596, 1]]	"{y}^2+{x}{y}={x}^3+{x}^2+\\left(28a+24\\right){x}+a+596"
"714.2-b1"	"714.2-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [16, 0], [28, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+16{x}-4a+28"
"714.2-b2"	"714.2-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [112, -20], [-752, -28]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(-20a+112\\right){x}-28a-752"
"714.4-a1"	"714.4-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [-236, -10], [-1388, -9]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-10a-236\\right){x}-9a-1388"
"714.4-a2"	"714.4-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-332, 9], [1204, -577]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(9a-332\\right){x}-577a+1204"
"714.4-b1"	"714.4-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-2036, -87], [35229, 2373]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-87a-2036\\right){x}+2373a+35229"
"714.4-b2"	"714.4-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-703, 410], [-33371, 103]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+\\left(410a-703\\right){x}+103a-33371"
"714.5-a1"	"714.5-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-2123, 87], [37602, -2373]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(87a-2123\\right){x}-2373a+37602"
"714.5-a2"	"714.5-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-293, -410], [-33268, -103]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+\\left(-410a-293\\right){x}-103a-33268"
"714.5-b1"	"714.5-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [-245, 9], [-1396, 8]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(9a-245\\right){x}+8a-1396"
"714.5-b2"	"714.5-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-337, -24], [1089, 230]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-24a-337\\right){x}+230a+1089"
"714.7-a1"	"714.7-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [16, -2], [24, 3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a+16\\right){x}+3a+24"
"714.7-a2"	"714.7-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [92, 19], [-780, 27]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(19a+92\\right){x}+27a-780"
"714.7-b1"	"714.7-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [17, -14], [4, 40]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-14a+17\\right){x}+40a+4"
"714.7-b2"	"714.7-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 0], [52, -28], [597, -1]]	"{y}^2+{x}{y}={x}^3+{x}^2+\\left(-28a+52\\right){x}-a+597"
"714.8-a1"	"714.8-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-1906, -341], [-26815, -9340]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-341a-1906\\right){x}-9340a-26815"
"714.8-a2"	"714.8-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-71, 37], [574, 198]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(37a-71\\right){x}+198a+574"
"714.8-a3"	"714.8-a"	"2.0.111.1"	[28, -1, 1]	714	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [209, -76], [-5700, -75]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-76a+209\\right){x}-75a-5700"
"714.8-a4"	"714.8-a"	"2.0.111.1"	[28, -1, 1]	714	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-3214, 452], [54326, -14434]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(452a-3214\\right){x}-14434a+54326"
"714.8-b1"	"714.8-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [176, -82], [3576, -117]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-82a+176\\right){x}-117a+3576"
"714.8-b2"	"714.8-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-17, 4], [-56, -11]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(4a-17\\right){x}-11a-56"
"714.8-b3"	"714.8-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [96, -2], [-72, -53]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-2a+96\\right){x}-53a-72"
"714.8-b4"	"714.8-b"	"2.0.111.1"	[28, -1, 1]	714	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [3374, 281], [-55289, 13090]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(281a+3374\\right){x}+13090a-55289"
"716.3-a1"	"716.3-a"	"2.0.111.1"	[28, -1, 1]	716	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [-205, -50], [8, 513]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-50a-205\\right){x}+513a+8"
"716.3-b1"	"716.3-b"	"2.0.111.1"	[28, -1, 1]	716	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [52, -11], [-184, 27]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-11a+52\\right){x}+27a-184"
"716.4-a1"	"716.4-a"	"2.0.111.1"	[28, -1, 1]	716	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [-254, 49], [522, -514]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(49a-254\\right){x}-514a+522"
"716.4-b1"	"716.4-b"	"2.0.111.1"	[28, -1, 1]	716	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [41, 9], [-157, -28]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(9a+41\\right){x}-28a-157"
"720.1-a1"	"720.1-a"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [1584, 452], [-80684, -5646]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(452a+1584\\right){x}-5646a-80684"
"720.1-a2"	"720.1-a"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-864, 222], [1544, -4035]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(222a-864\\right){x}-4035a+1544"
"720.1-b1"	"720.1-b"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [192, 30], [-1568, 39]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(30a+192\\right){x}+39a-1568"
"720.1-b2"	"720.1-b"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [264, -6], [-1688, -531]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-6a+264\\right){x}-531a-1688"
"720.1-c1"	"720.1-c"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [11, 10], [47, -34]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(10a+11\\right){x}-34a+47"
"720.1-c2"	"720.1-c"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-124, -35], [1052, 611]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-35a-124\\right){x}+611a+1052"
"720.1-d1"	"720.1-d"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [468, -15], [-1260, 1116]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(-15a+468\\right){x}+1116a-1260"
"720.1-d2"	"720.1-d"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-76, 23], [248, 70]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(23a-76\\right){x}+70a+248"
"720.10-a1"	"720.10-a"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [2036, -454], [-86330, 5645]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-454a+2036\\right){x}+5645a-86330"
"720.10-a2"	"720.10-a"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-642, -222], [-2491, 4035]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-222a-642\\right){x}+4035a-2491"
"720.10-b1"	"720.10-b"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [222, -30], [-1529, -39]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-30a+222\\right){x}-39a-1529"
"720.10-b2"	"720.10-b"	"2.0.111.1"	[28, -1, 1]	720	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [258, 6], [-2219, 531]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(6a+258\\right){x}+531a-2219"
"720.10-c1"	"720.10-c"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [21, -12], [13, 33]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-12a+21\\right){x}+33a+13"
"720.10-c2"	"720.10-c"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-159, 33], [1663, -612]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(33a-159\\right){x}-612a+1663"
"720.10-d1"	"720.10-d"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [452, 17], [-596, -1132]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(17a+452\\right){x}-1132a-596"
"720.10-d2"	"720.10-d"	"2.0.111.1"	[28, -1, 1]	720	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-53, -23], [318, -70]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-23a-53\\right){x}-70a+318"
"720.2-a1"	"720.2-a"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-20640, -6990], [22384, 661028]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-6990a-20640\\right){x}+661028a+22384"
"720.2-a2"	"720.2-a"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-240, -90], [1324, 743]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-90a-240\\right){x}+743a+1324"
"720.2-a3"	"720.2-a"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-3720, 1380], [12232, 48506]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1380a-3720\\right){x}+48506a+12232"
"720.2-b1"	"720.2-b"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [4127, -1153], [-215205, 216]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-1153a+4127\\right){x}+216a-215205"
"720.2-b2"	"720.2-b"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [47, -13], [-153, 15]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-13a+47\\right){x}+15a-153"
"720.2-b3"	"720.2-b"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-1273, 17], [-17421, -90]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(17a-1273\\right){x}-90a-17421"
"720.3-a1"	"720.3-a"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-13, -5], [107, 53]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-5a-13\\right){x}+53a+107"
"720.3-b1"	"720.3-b"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-297, -66], [-2125, -594]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-66a-297\\right){x}-594a-2125"
"720.8-a1"	"720.8-a"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-18, 3], [160, -54]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(3a-18\\right){x}-54a+160"
"720.8-b1"	"720.8-b"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-363, 66], [-2719, 594]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(66a-363\\right){x}+594a-2719"
"720.9-a1"	"720.9-a"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-27631, 6992], [711043, -668020]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6992a-27631\\right){x}-668020a+711043"
"720.9-a2"	"720.9-a"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-331, 92], [2398, -835]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(92a-331\\right){x}-835a+2398"
"720.9-a3"	"720.9-a"	"2.0.111.1"	[28, -1, 1]	720	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-2341, -1378], [63079, -47128]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1378a-2341\\right){x}-47128a+63079"
"720.9-b1"	"720.9-b"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [2973, 1155], [-217962, -1371]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1155a+2973\\right){x}-1371a-217962"
"720.9-b2"	"720.9-b"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [33, 15], [-171, -30]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(15a+33\\right){x}-30a-171"
"720.9-b3"	"720.9-b"	"2.0.111.1"	[28, -1, 1]	720	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-1257, -15], [-16254, 105]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-15a-1257\\right){x}+105a-16254"
"725.1-a1"	"725.1-a"	"2.0.111.1"	[28, -1, 1]	725	2	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 1], [43, -9], [-245, 48]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-9a+43\\right){x}+48a-245"
"725.1-b1"	"725.1-b"	"2.0.111.1"	[28, -1, 1]	725	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 0], [47, 2], [-38, -11]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(2a+47\\right){x}-11a-38"
"725.6-a1"	"725.6-a"	"2.0.111.1"	[28, -1, 1]	725	2	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 0], [6, 9], [-190, -40]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+{x}^2+\\left(9a+6\\right){x}-40a-190"
"725.6-b1"	"725.6-b"	"2.0.111.1"	[28, -1, 1]	725	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 1], [62, -16], [127, 73]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-16a+62\\right){x}+73a+127"
"740.3-a1"	"740.3-a"	"2.0.111.1"	[28, -1, 1]	740	1	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-569, -454], [-13735, 9815]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-454a-569\\right){x}+9815a-13735"
"740.3-a2"	"740.3-a"	"2.0.111.1"	[28, -1, 1]	740	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [-12009, 1203], [626501, -184435]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1203a-12009\\right){x}-184435a+626501"
"740.3-a3"	"740.3-a"	"2.0.111.1"	[28, -1, 1]	740	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [71, 26], [-551, -9]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(26a+71\\right){x}-9a-551"
"740.3-a4"	"740.3-a"	"2.0.111.1"	[28, -1, 1]	740	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [4791, 743], [171445, -19363]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(743a+4791\\right){x}-19363a+171445"
"740.3-b1"	"740.3-b"	"2.0.111.1"	[28, -1, 1]	740	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [12124, -2105], [-683519, -50544]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-2105a+12124\\right){x}-50544a-683519"
"740.3-b2"	"740.3-b"	"2.0.111.1"	[28, -1, 1]	740	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [10352, 1323], [-664569, 173280]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1323a+10352\\right){x}+173280a-664569"
"740.3-b3"	"740.3-b"	"2.0.111.1"	[28, -1, 1]	740	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [-716, 165], [-2855, -786]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(165a-716\\right){x}-786a-2855"
"740.3-b4"	"740.3-b"	"2.0.111.1"	[28, -1, 1]	740	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [1552, -1217], [-191465, 20580]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1217a+1552\\right){x}+20580a-191465"
"740.4-a1"	"740.4-a"	"2.0.111.1"	[28, -1, 1]	740	1	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-996, 455], [-2896, -10270]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(455a-996\\right){x}-10270a-2896"
"740.4-a2"	"740.4-a"	"2.0.111.1"	[28, -1, 1]	740	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [-10807, -1202], [452873, 185637]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1202a-10807\\right){x}+185637a+452873"
"740.4-a3"	"740.4-a"	"2.0.111.1"	[28, -1, 1]	740	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [124, -25], [-656, 34]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-25a+124\\right){x}+34a-656"
"740.4-a4"	"740.4-a"	"2.0.111.1"	[28, -1, 1]	740	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [5533, -742], [146549, 20105]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-742a+5533\\right){x}+20105a+146549"
"740.4-b1"	"740.4-b"	"2.0.111.1"	[28, -1, 1]	740	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [10018, 2106], [-744081, 48437]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2106a+10018\\right){x}+48437a-744081"
"740.4-b2"	"740.4-b"	"2.0.111.1"	[28, -1, 1]	740	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [11675, -1322], [-479613, -174604]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-1322a+11675\\right){x}-174604a-479613"
"740.4-b3"	"740.4-b"	"2.0.111.1"	[28, -1, 1]	740	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [-552, -164], [-3089, 949]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-164a-552\\right){x}+949a-3089"
"740.4-b4"	"740.4-b"	"2.0.111.1"	[28, -1, 1]	740	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [335, 1218], [-170549, -19364]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(1218a+335\\right){x}-19364a-170549"
"750.2-a1"	"750.2-a"	"2.0.111.1"	[28, -1, 1]	750	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 1], [4296, -711], [-164564, -6757]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3-{x}^2+\\left(-711a+4296\\right){x}-6757a-164564"
"750.2-b1"	"750.2-b"	"2.0.111.1"	[28, -1, 1]	750	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 0], [-4975, -313], [164885, 11610]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-313a-4975\\right){x}+11610a+164885"
"750.3-a1"	"750.3-a"	"2.0.111.1"	[28, -1, 1]	750	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [6, -3], [10, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-3a+6\\right){x}-a+10"
"750.3-b1"	"750.3-b"	"2.0.111.1"	[28, -1, 1]	750	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [-100, 2], [814, -91]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(2a-100\\right){x}-91a+814"
"750.6-a1"	"750.6-a"	"2.0.111.1"	[28, -1, 1]	750	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [3, 3], [6, -2]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(3a+3\\right){x}-2a+6"
"750.6-b1"	"750.6-b"	"2.0.111.1"	[28, -1, 1]	750	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [-97, -4], [723, 90]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-4a-97\\right){x}+90a+723"
"750.7-a1"	"750.7-a"	"2.0.111.1"	[28, -1, 1]	750	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [1, 1], [3586, 709], [-171321, 6756]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(709a+3586\\right){x}+6756a-171321"
"750.7-b1"	"750.7-b"	"2.0.111.1"	[28, -1, 1]	750	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [1, 0], [-5287, 312], [176495, -11610]]	"{y}^2+a{x}{y}+{y}={x}^3+{x}^2+\\left(312a-5287\\right){x}-11610a+176495"
"768.2-a1"	"768.2-a"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-140, 5], [-1084, 498]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(5a-140\\right){x}+498a-1084"
"768.2-a2"	"768.2-a"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [38, 73], [-1718, -454]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(73a+38\\right){x}-454a-1718"
"768.2-b1"	"768.2-b"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-9, 5], [175, 13]]	"{y}^2={x}^3+{x}^2+\\left(5a-9\\right){x}+13a+175"
"768.2-b2"	"768.2-b"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [18, 12], [126, -18]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(12a+18\\right){x}-18a+126"
"768.4-a1"	"768.4-a"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [292, 0], [448, -524]]	"{y}^2={x}^3-a{x}^2+292{x}-524a+448"
"768.4-a2"	"768.4-a"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [66, -17], [788, 30]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-17a+66\\right){x}+30a+788"
"768.4-b1"	"768.4-b"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-177, 50], [-783, 369]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(50a-177\\right){x}+369a-783"
"768.4-b2"	"768.4-b"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-6, -3], [0, -9]]	"{y}^2={x}^3+{x}^2+\\left(-3a-6\\right){x}-9a"
"768.5-a1"	"768.5-a"	"2.0.111.1"	[28, -1, 1]	768	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [40, 3], [-96, 12]]	"{y}^2={x}^3-{x}^2+\\left(3a+40\\right){x}+12a-96"
"768.5-a2"	"768.5-a"	"2.0.111.1"	[28, -1, 1]	768	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-126, -6], [539, -7]]	"{y}^2={x}^3+a{x}^2+\\left(-6a-126\\right){x}-7a+539"
"768.5-b1"	"768.5-b"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-11, -1], [14, -2]]	"{y}^2={x}^3+a{x}^2+\\left(-a-11\\right){x}-2a+14"
"768.5-b2"	"768.5-b"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-16, -16], [336, -60]]	"{y}^2={x}^3+a{x}^2+\\left(-16a-16\\right){x}-60a+336"
"768.5-c1"	"768.5-c"	"2.0.111.1"	[28, -1, 1]	768	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-132, 6], [532, 7]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(6a-132\\right){x}+7a+532"
"768.5-c2"	"768.5-c"	"2.0.111.1"	[28, -1, 1]	768	2	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [43, -3], [-84, -12]]	"{y}^2={x}^3-{x}^2+\\left(-3a+43\\right){x}-12a-84"
"768.5-d1"	"768.5-d"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-12, 1], [12, 2]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(a-12\\right){x}+2a+12"
"768.5-d2"	"768.5-d"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-32, 16], [276, 60]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(16a-32\\right){x}+60a+276"
"768.5-e1"	"768.5-e"	"2.0.111.1"	[28, -1, 1]	768	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-267, 24], [-1510, 216]]	"{y}^2={x}^3+\\left(24a-267\\right){x}+216a-1510"
"768.5-f1"	"768.5-f"	"2.0.111.1"	[28, -1, 1]	768	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-36, -3], [12, 18]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a-36\\right){x}+18a+12"
"768.5-g1"	"768.5-g"	"2.0.111.1"	[28, -1, 1]	768	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-49783, 13731], [1466382, -2698978]]	"{y}^2={x}^3+a{x}^2+\\left(13731a-49783\\right){x}-2698978a+1466382"
"768.5-g2"	"768.5-g"	"2.0.111.1"	[28, -1, 1]	768	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-1063, 291], [-13698, 18254]]	"{y}^2={x}^3+a{x}^2+\\left(291a-1063\\right){x}+18254a-13698"
"768.5-h1"	"768.5-h"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-79, -27], [-316, 127]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-27a-79\\right){x}+127a-316"
"768.5-h2"	"768.5-h"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-1024, -387], [-7372, 8758]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-387a-1024\\right){x}+8758a-7372"
"768.5-i1"	"768.5-i"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-106, 27], [-189, -127]]	"{y}^2={x}^3+a{x}^2+\\left(27a-106\\right){x}-127a-189"
"768.5-i2"	"768.5-i"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-1411, 387], [1386, -8758]]	"{y}^2={x}^3+a{x}^2+\\left(387a-1411\\right){x}-8758a+1386"
"768.5-j1"	"768.5-j"	"2.0.111.1"	[28, -1, 1]	768	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-39, 3], [30, -18]]	"{y}^2={x}^3+a{x}^2+\\left(3a-39\\right){x}-18a+30"
"768.5-k1"	"768.5-k"	"2.0.111.1"	[28, -1, 1]	768	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-243, -24], [-1294, -216]]	"{y}^2={x}^3+\\left(-24a-243\\right){x}-216a-1294"
"768.5-l1"	"768.5-l"	"2.0.111.1"	[28, -1, 1]	768	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-36052, -13731], [-1232596, 2698978]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-13731a-36052\\right){x}+2698978a-1232596"
"768.5-l2"	"768.5-l"	"2.0.111.1"	[28, -1, 1]	768	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-772, -291], [4556, -18254]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-291a-772\\right){x}-18254a+4556"
"768.5-m1"	"768.5-m"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [40, -23], [-524, 46]]	"{y}^2={x}^3-{x}^2+\\left(-23a+40\\right){x}+46a-524"
"768.5-m2"	"768.5-m"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-8, -1], [7, 0]]	"{y}^2={x}^3+a{x}^2+\\left(-a-8\\right){x}+7"
"768.5-n1"	"768.5-n"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-27, 12], [-70, 0]]	"{y}^2={x}^3+\\left(12a-27\\right){x}-70"
"768.5-n2"	"768.5-n"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-547, 30], [-4914, 224]]	"{y}^2={x}^3+a{x}^2+\\left(30a-547\\right){x}+224a-4914"
"768.5-o1"	"768.5-o"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-9, 1], [7, 0]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(a-9\\right){x}+7"
"768.5-o2"	"768.5-o"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [17, 23], [-478, -46]]	"{y}^2={x}^3-{x}^2+\\left(23a+17\\right){x}-46a-478"
"768.5-p1"	"768.5-p"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-15, -12], [-70, 0]]	"{y}^2={x}^3+\\left(-12a-15\\right){x}-70"
"768.5-p2"	"768.5-p"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-517, -30], [-4690, -224]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-30a-517\\right){x}-224a-4690"
"768.5-q1"	"768.5-q"	"2.0.111.1"	[28, -1, 1]	768	0	[8]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [16, 0], [180, 0]]	"{y}^2={x}^3+{x}^2+16{x}+180"
"768.5-q2"	"768.5-q"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [1, 0], [0, 0]]	"{y}^2={x}^3+{x}^2+{x}"
"768.5-q3"	"768.5-q"	"2.0.111.1"	[28, -1, 1]	768	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-4, 0], [-4, 0]]	"{y}^2={x}^3+{x}^2-4{x}-4"
"768.5-q4"	"768.5-q"	"2.0.111.1"	[28, -1, 1]	768	0	[2, 4]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-24, 0], [36, 0]]	"{y}^2={x}^3+{x}^2-24{x}+36"
"768.5-q5"	"768.5-q"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-64, 0], [-220, 0]]	"{y}^2={x}^3+{x}^2-64{x}-220"
"768.5-q6"	"768.5-q"	"2.0.111.1"	[28, -1, 1]	768	0	[4]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-384, 0], [2772, 0]]	"{y}^2={x}^3+{x}^2-384{x}+2772"
"768.5-r1"	"768.5-r"	"2.0.111.1"	[28, -1, 1]	768	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [97, -29], [-882, 1002]]	"{y}^2={x}^3-a{x}^2+\\left(-29a+97\\right){x}+1002a-882"
"768.5-r2"	"768.5-r"	"2.0.111.1"	[28, -1, 1]	768	0	[4]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-2223, 611], [-3682, 16346]]	"{y}^2={x}^3-a{x}^2+\\left(611a-2223\\right){x}+16346a-3682"
"768.5-r3"	"768.5-r"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-148, 125], [-4344, -1074]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(125a-148\\right){x}-1074a-4344"
"768.5-r4"	"768.5-r"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [95, -11], [-265, -55]]	"{y}^2={x}^3+{x}^2+\\left(-11a+95\\right){x}-55a-265"
"768.5-s1"	"768.5-s"	"2.0.111.1"	[28, -1, 1]	768	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [68, 29], [120, -1002]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(29a+68\\right){x}-1002a+120"
"768.5-s2"	"768.5-s"	"2.0.111.1"	[28, -1, 1]	768	0	[4]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-1612, -611], [12664, -16346]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-611a-1612\\right){x}-16346a+12664"
"768.5-s3"	"768.5-s"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [84, 11], [-320, 55]]	"{y}^2={x}^3+{x}^2+\\left(11a+84\\right){x}+55a-320"
"768.5-s4"	"768.5-s"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-23, -125], [-5418, 1074]]	"{y}^2={x}^3-a{x}^2+\\left(-125a-23\\right){x}+1074a-5418"
"768.5-t1"	"768.5-t"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [141, 0], [-4718, 0]]	"{y}^2={x}^3+141{x}-4718"
"768.5-t2"	"768.5-t"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [6, 0], [7, 0]]	"{y}^2={x}^3+6{x}+7"
"768.5-t3"	"768.5-t"	"2.0.111.1"	[28, -1, 1]	768	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-39, 0], [70, 0]]	"{y}^2={x}^3-39{x}+70"
"768.5-t4"	"768.5-t"	"2.0.111.1"	[28, -1, 1]	768	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-219, 0], [-1190, 0]]	"{y}^2={x}^3-219{x}-1190"
"768.5-t5"	"768.5-t"	"2.0.111.1"	[28, -1, 1]	768	0	[4]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-579, 0], [5362, 0]]	"{y}^2={x}^3-579{x}+5362"
"768.5-t6"	"768.5-t"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [-3459, 0], [-78302, 0]]	"{y}^2={x}^3-3459{x}-78302"
"768.6-a1"	"768.6-a"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [292, 0], [-76, 524]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+292{x}+524a-76"
"768.6-a2"	"768.6-a"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [49, 17], [818, -30]]	"{y}^2={x}^3-a{x}^2+\\left(17a+49\\right){x}-30a+818"
"768.6-b1"	"768.6-b"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-127, -50], [-414, -369]]	"{y}^2={x}^3-a{x}^2+\\left(-50a-127\\right){x}-369a-414"
"768.6-b2"	"768.6-b"	"2.0.111.1"	[28, -1, 1]	768	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-9, 3], [-9, 9]]	"{y}^2={x}^3+{x}^2+\\left(3a-9\\right){x}+9a-9"
"768.8-a1"	"768.8-a"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-135, -7], [-586, -499]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-7a-135\\right){x}-499a-586"
"768.8-a2"	"768.8-a"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [111, -75], [-2172, 453]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-75a+111\\right){x}+453a-2172"
"768.8-b1"	"768.8-b"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-4, -5], [188, -13]]	"{y}^2={x}^3+{x}^2+\\left(-5a-4\\right){x}-13a+188"
"768.8-b2"	"768.8-b"	"2.0.111.1"	[28, -1, 1]	768	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [29, -12], [137, 6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-12a+29\\right){x}+6a+137"
"784.1-a1"	"784.1-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 1], [187, -82], [-2127, 207]]	"{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-82a+187\\right){x}+207a-2127"
"784.1-a2"	"784.1-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 1], [41347, -17232], [11566577, -562313]]	"{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-17232a+41347\\right){x}-562313a+11566577"
"784.1-b1"	"784.1-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 1], [271, 65], [2911, -140]]	"{y}^2+a{y}={x}^3+{x}^2+\\left(65a+271\\right){x}-140a+2911"
"784.1-b2"	"784.1-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 1], [57111, 13715], [-11323145, 655242]]	"{y}^2+a{y}={x}^3+{x}^2+\\left(13715a+57111\\right){x}+655242a-11323145"
"784.10-a1"	"784.10-a"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-26, 17], [-2488, 229]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(17a-26\\right){x}+229a-2488"
"784.10-b1"	"784.10-b"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-16, 0], [-64, -32]]	"{y}^2={x}^3+{x}^2-16{x}-32a-64"
"784.13-a1"	"784.13-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-7, 2], [-2, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(2a-7\\right){x}-2"
"784.13-a2"	"784.13-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [483, 352], [-34890, -1400]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(352a+483\\right){x}-1400a-34890"
"784.13-b1"	"784.13-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 1], [-3040, 248], [-79318, 6745]]	"{y}^2+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(248a-3040\\right){x}+6745a-79318"
"784.13-b2"	"784.13-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 1], [-25510, -2922], [8229556, -370441]]	"{y}^2+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-2922a-25510\\right){x}-370441a+8229556"
"784.13-c1"	"784.13-c"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-373, -62], [-2045, -849]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-62a-373\\right){x}-849a-2045"
"784.13-c2"	"784.13-c"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [747, -942], [18339, 99167]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-942a+747\\right){x}+99167a+18339"
"784.13-d1"	"784.13-d"	"2.0.111.1"	[28, -1, 1]	784	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [21, 15], [-205, -12]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(15a+21\\right){x}-12a-205"
"784.13-d2"	"784.13-d"	"2.0.111.1"	[28, -1, 1]	784	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [4431, 3165], [853571, 45348]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(3165a+4431\\right){x}+45348a+853571"
"784.14-a1"	"784.14-a"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [39, -3], [56, 15]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-3a+39\\right){x}+15a+56"
"784.14-b1"	"784.14-b"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-69, 11], [648, -93]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(11a-69\\right){x}-93a+648"
"784.14-b2"	"784.14-b"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [66, 1], [-156, 9]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a+66\\right){x}+9a-156"
"784.14-c1"	"784.14-c"	"2.0.111.1"	[28, -1, 1]	784	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [18, -9], [213, 12]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-9a+18\\right){x}+12a+213"
"784.14-d1"	"784.14-d"	"2.0.111.1"	[28, -1, 1]	784	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [1, 1], [-7, 0], [5, -2]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2-7{x}-2a+5"
"784.14-e1"	"784.14-e"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [112, 12], [-609, 29]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(12a+112\\right){x}+29a-609"
"784.14-e2"	"784.14-e"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 0], [-8, 2], [8, -1]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(2a-8\\right){x}-a+8"
"784.14-f1"	"784.14-f"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-5, 0], [7, -1]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2-5{x}-a+7"
"784.15-a1"	"784.15-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 1], [105, 82], [-1920, -208]]	"{y}^2+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(82a+105\\right){x}-208a-1920"
"784.15-a2"	"784.15-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 1], [24115, 17232], [11004264, 562312]]	"{y}^2+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(17232a+24115\\right){x}+562312a+11004264"
"784.15-b1"	"784.15-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 1], [336, -65], [2771, 139]]	"{y}^2+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-65a+336\\right){x}+139a+2771"
"784.15-b2"	"784.15-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 1], [70826, -13715], [-10667903, -655243]]	"{y}^2+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-13715a+70826\\right){x}-655243a-10667903"
"784.2-a1"	"784.2-a"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [36, 3], [72, -16]]	"{y}^2+a{y}={x}^3+\\left(3a+36\\right){x}-16a+72"
"784.2-b1"	"784.2-b"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-56, -13], [556, 92]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-13a-56\\right){x}+92a+556"
"784.2-b2"	"784.2-b"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [69, -3], [-146, -10]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-3a+69\\right){x}-10a-146"
"784.2-c1"	"784.2-c"	"2.0.111.1"	[28, -1, 1]	784	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [9, 9], [226, -13]]	"{y}^2+a{y}={x}^3+\\left(9a+9\\right){x}-13a+226"
"784.2-d1"	"784.2-d"	"2.0.111.1"	[28, -1, 1]	784	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [0, 1], [-8, 2], [12, 0]]	"{y}^2+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2a-8\\right){x}+12"
"784.2-e1"	"784.2-e"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [124, -12], [-580, -29]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-12a+124\\right){x}-29a-580"
"784.2-e2"	"784.2-e"	"2.0.111.1"	[28, -1, 1]	784	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 0], [-7, 0], [0, 0]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2-7{x}"
"784.2-f1"	"784.2-f"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-5, 0], [7, 0]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2-5{x}+7"
"784.3-a1"	"784.3-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-5, -2], [-1, -1]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a-5\\right){x}-a-1"
"784.3-a2"	"784.3-a"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [835, -352], [-36289, 1399]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-352a+835\\right){x}+1399a-36289"
"784.3-b1"	"784.3-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 1], [-2792, -248], [-72572, -6746]]	"{y}^2+a{y}={x}^3-{x}^2+\\left(-248a-2792\\right){x}-6746a-72572"
"784.3-b2"	"784.3-b"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 1], [-28432, 2922], [7859116, 370440]]	"{y}^2+a{y}={x}^3-{x}^2+\\left(2922a-28432\\right){x}+370440a+7859116"
"784.3-c1"	"784.3-c"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-435, 62], [-2894, 849]]	"{y}^2={x}^3+a{x}^2+\\left(62a-435\\right){x}+849a-2894"
"784.3-c2"	"784.3-c"	"2.0.111.1"	[28, -1, 1]	784	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-195, 942], [117506, -99167]]	"{y}^2={x}^3+a{x}^2+\\left(942a-195\\right){x}-99167a+117506"
"784.3-d1"	"784.3-d"	"2.0.111.1"	[28, -1, 1]	784	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [36, -15], [-216, 11]]	"{y}^2+a{y}={x}^3+\\left(-15a+36\\right){x}+11a-216"
"784.3-d2"	"784.3-d"	"2.0.111.1"	[28, -1, 1]	784	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [7596, -3165], [898920, -45349]]	"{y}^2+a{y}={x}^3+\\left(-3165a+7596\\right){x}-45349a+898920"
"784.6-a1"	"784.6-a"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-7, -19], [-2258, -230]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-19a-7\\right){x}-230a-2258"
"784.6-b1"	"784.6-b"	"2.0.111.1"	[28, -1, 1]	784	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-16, 0], [-96, 32]]	"{y}^2={x}^3+{x}^2-16{x}+32a-96"
"784.7-a1"	"784.7-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [-6, 6]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}+6a-6"
"784.7-a2"	"784.7-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-3	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-9, 1], [-398, -29]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(a-9\\right){x}-29a-398"
"784.7-a3"	"784.7-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-12	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [656, -119], [-10184, -796]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-119a+656\\right){x}-796a-10184"
"784.7-a4"	"784.7-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-12	"1.2.B.2.1a"	[[0, 0], [-1, -1], [0, 0], [-44, -24], [-440, 144]]	"{y}^2={x}^3+\\left(-a-1\\right){x}^2+\\left(-24a-44\\right){x}+144a-440"
"784.9-a1"	"784.9-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [-9, -6]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}-6a-9"
"784.9-a2"	"784.9-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-3	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-9, 1], [-436, 29]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a-9\\right){x}+29a-436"
"784.9-a3"	"784.9-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-12	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [536, 121], [-10444, 916]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(121a+536\\right){x}+916a-10444"
"784.9-a4"	"784.9-a"	"2.0.111.1"	[28, -1, 1]	784	0	[2]	-12	"1.2.B.2.1a"	[[0, 0], [1, 1], [0, 0], [-69, 26], [-365, -119]]	"{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(26a-69\\right){x}-119a-365"
"786.1-a1"	"786.1-a"	"2.0.111.1"	[28, -1, 1]	786	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 1], [-12, -14], [160, -6]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-14a-12\\right){x}-6a+160"
"786.1-b1"	"786.1-b"	"2.0.111.1"	[28, -1, 1]	786	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [14, -4], [15, 0]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-4a+14\\right){x}+15"
"786.4-a1"	"786.4-a"	"2.0.111.1"	[28, -1, 1]	786	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [1, 0], [-25, 0], [-28, -6]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2-25{x}-6a-28"
"786.4-b1"	"786.4-b"	"2.0.111.1"	[28, -1, 1]	786	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [11, 4], [5, -4]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(4a+11\\right){x}-4a+5"
"800.1-a1"	"800.1-a"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [124, 17], [68, -170]]	"{y}^2+a{y}={x}^3+a{x}^2+\\left(17a+124\\right){x}-170a+68"
"800.1-b1"	"800.1-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [15, -3], [-93, -7]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a+15\\right){x}-7a-93"
"800.11-a1"	"800.11-a"	"2.0.111.1"	[28, -1, 1]	800	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-21, 0], [-31, 28]]	"{y}^2={x}^3-{x}^2-21{x}+28a-31"
"800.11-b1"	"800.11-b"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-57, -23], [-2433, -95]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-23a-57\\right){x}-95a-2433"
"800.14-a1"	"800.14-a"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [617, -215], [18874, 157]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-215a+617\\right){x}+157a+18874"
"800.14-a2"	"800.14-a"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [22, 0], [16, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+22{x}-a+16"
"800.14-a3"	"800.14-a"	"2.0.111.1"	[28, -1, 1]	800	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [77, 0], [-34, 68]]	"{y}^2={x}^3+77{x}+68a-34"
"800.14-a4"	"800.14-a"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [1357, 0], [-1826, 3652]]	"{y}^2={x}^3+1357{x}+3652a-1826"
"800.14-b1"	"800.14-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-107, 6], [-395, -52]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6a-107\\right){x}-52a-395"
"800.14-b2"	"800.14-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [389, 127], [9379, -1879]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(127a+389\\right){x}-1879a+9379"
"800.14-c1"	"800.14-c"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [557437, 0], [-15204786, 30409572]]	"{y}^2={x}^3+557437{x}+30409572a-15204786"
"800.14-d1"	"800.14-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [22, 9], [88, -11]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(9a+22\\right){x}-11a+88"
"800.14-d2"	"800.14-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [188, -20], [-692, 84]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-20a+188\\right){x}+84a-692"
"800.14-d3"	"800.14-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-682, 90], [446, 170]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(90a-682\\right){x}+170a+446"
"800.14-d4"	"800.14-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [62, 129], [5664, 333]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(129a+62\\right){x}+333a+5664"
"800.14-e1"	"800.14-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-190, 28], [-583, 214]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(28a-190\\right){x}+214a-583"
"800.14-e2"	"800.14-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [31, -6], [-3, 15]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-6a+31\\right){x}+15a-3"
"800.14-e3"	"800.14-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [41, 24], [145, -53]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(24a+41\\right){x}-53a+145"
"800.14-e4"	"800.14-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-3670, 468], [-61607, 15286]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(468a-3670\\right){x}+15286a-61607"
"800.14-f1"	"800.14-f"	"2.0.111.1"	[28, -1, 1]	800	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [657, 179], [-21435, 339]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(179a+657\\right){x}+339a-21435"
"800.14-f2"	"800.14-f"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-3, 39], [-1315, -261]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(39a-3\\right){x}-261a-1315"
"800.14-f3"	"800.14-f"	"2.0.111.1"	[28, -1, 1]	800	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [265, -85], [5621, 131]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-85a+265\\right){x}+131a+5621"
"800.14-f4"	"800.14-f"	"2.0.111.1"	[28, -1, 1]	800	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [4505, -1445], [301925, -1325]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-1445a+4505\\right){x}-1325a+301925"
"800.14-g1"	"800.14-g"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [1846520, -592280], [2514245200, -42780300]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-592280a+1846520\\right){x}-42780300a+2514245200"
"800.14-h1"	"800.14-h"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-391, -119], [6911, -1768]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-119a-391\\right){x}-1768a+6911"
"800.14-h2"	"800.14-h"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [160, -3], [-855, -109]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-3a+160\\right){x}-109a-855"
"800.16-a1"	"800.16-a"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [826, 86], [3918, -3227]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(86a+826\\right){x}-3227a+3918"
"800.16-b1"	"800.16-b"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [74, -186], [-4497, 3208]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-186a+74\\right){x}+3208a-4497"
"800.17-a1"	"800.17-a"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [11, -8], [93, -8]]	"{y}^2={x}^3-{x}^2+\\left(-8a+11\\right){x}-8a+93"
"800.17-b1"	"800.17-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-212, -29], [-601, -333]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-29a-212\\right){x}-333a-601"
"800.18-a1"	"800.18-a"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [141, -17], [-102, 169]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-17a+141\\right){x}+169a-102"
"800.18-b1"	"800.18-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [12, 3], [-100, 7]]	"{y}^2={x}^3+a{x}^2+\\left(3a+12\\right){x}+7a-100"
"800.2-a1"	"800.2-a"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-241, 29], [-933, 332]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(29a-241\\right){x}+332a-933"
"800.2-b1"	"800.2-b"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [3, 8], [85, 8]]	"{y}^2={x}^3-{x}^2+\\left(8a+3\\right){x}+8a+85"
"800.3-a1"	"800.3-a"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [912, -86], [692, 3226]]	"{y}^2+a{y}={x}^3+\\left(-86a+912\\right){x}+3226a+692"
"800.3-b1"	"800.3-b"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [-112, 186], [-1288, -3209]]	"{y}^2+a{y}={x}^3+\\left(186a-112\\right){x}-3209a-1288"
"800.5-a1"	"800.5-a"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [557437, 0], [15204786, -30409572]]	"{y}^2={x}^3+557437{x}-30409572a+15204786"
"800.5-b1"	"800.5-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [516, -127], [7500, 1879]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-127a+516\\right){x}+1879a+7500"
"800.5-b2"	"800.5-b"	"2.0.111.1"	[28, -1, 1]	800	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-101, -6], [-447, 52]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-6a-101\\right){x}+52a-447"
"800.5-c1"	"800.5-c"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [24, -2], [16, 0]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a+24\\right){x}+16"
"800.5-c2"	"800.5-c"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [404, 213], [19032, -158]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(213a+404\\right){x}-158a+19032"
"800.5-c3"	"800.5-c"	"2.0.111.1"	[28, -1, 1]	800	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [77, 0], [34, -68]]	"{y}^2={x}^3+77{x}-68a+34"
"800.5-c4"	"800.5-c"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 0], [1357, 0], [1826, -3652]]	"{y}^2={x}^3+1357{x}-3652a+1826"
"800.5-d1"	"800.5-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [31, -9], [77, 11]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-9a+31\\right){x}+11a+77"
"800.5-d2"	"800.5-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [168, 20], [-608, -84]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(20a+168\\right){x}-84a-608"
"800.5-d3"	"800.5-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-592, -90], [616, -170]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-90a-592\\right){x}-170a+616"
"800.5-d4"	"800.5-d"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [191, -129], [5997, -333]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-129a+191\\right){x}-333a+5997"
"800.5-e1"	"800.5-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-160, -30], [-368, -215]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-30a-160\\right){x}-215a-368"
"800.5-e2"	"800.5-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [27, 4], [13, -16]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(4a+27\\right){x}-16a+13"
"800.5-e3"	"800.5-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [67, -26], [93, 52]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-26a+67\\right){x}+52a+93"
"800.5-e4"	"800.5-e"	"2.0.111.1"	[28, -1, 1]	800	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-3200, -470], [-46320, -15287]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-470a-3200\\right){x}-15287a-46320"
"800.5-f1"	"800.5-f"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [159, 1], [-963, 108]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(a+159\\right){x}+108a-963"
"800.5-f2"	"800.5-f"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-508, 117], [5144, 1767]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(117a-508\\right){x}+1767a+5144"
"800.5-g1"	"800.5-g"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [1254240, 592280], [2471464900, 42780300]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(592280a+1254240\\right){x}+42780300a+2471464900"
"800.5-h1"	"800.5-h"	"2.0.111.1"	[28, -1, 1]	800	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [36, -39], [-1576, 261]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-39a+36\\right){x}+261a-1576"
"800.5-h2"	"800.5-h"	"2.0.111.1"	[28, -1, 1]	800	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [836, -179], [-21096, -339]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-179a+836\\right){x}-339a-21096"
"800.5-h3"	"800.5-h"	"2.0.111.1"	[28, -1, 1]	800	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [180, 85], [5752, -131]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(85a+180\\right){x}-131a+5752"
"800.5-h4"	"800.5-h"	"2.0.111.1"	[28, -1, 1]	800	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [3060, 1445], [300600, 1325]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(1445a+3060\\right){x}+1325a+300600"
"800.8-a1"	"800.8-a"	"2.0.111.1"	[28, -1, 1]	800	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-21, 0], [-3, -28]]	"{y}^2={x}^3-{x}^2-21{x}-28a-3"
"800.8-b1"	"800.8-b"	"2.0.111.1"	[28, -1, 1]	800	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-80, 23], [-2528, 95]]	"{y}^2={x}^3+a{x}^2+\\left(23a-80\\right){x}+95a-2528"
"804.3-a1"	"804.3-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-30291, -11073], [359649, -1312112]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-11073a-30291\\right){x}-1312112a+359649"
"804.3-a2"	"804.3-a"	"2.0.111.1"	[28, -1, 1]	804	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-48, -10], [364, 88]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-10a-48\\right){x}+88a+364"
"804.3-a3"	"804.3-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-97, 141], [1169, -257]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(141a-97\\right){x}-257a+1169"
"804.3-a4"	"804.3-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-1891, -693], [4897, -20704]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-693a-1891\\right){x}-20704a+4897"
"804.3-b1"	"804.3-b"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [259332, -215619], [-415932012, 49526865]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-215619a+259332\\right){x}+49526865a-415932012"
"804.3-b2"	"804.3-b"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [29669, 26287], [19710393, 1553451]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(26287a+29669\\right){x}+1553451a+19710393"
"804.3-b3"	"804.3-b"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-236911, 9907], [96658269, -4795113]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(9907a-236911\\right){x}-4795113a+96658269"
"804.3-b4"	"804.3-b"	"2.0.111.1"	[28, -1, 1]	804	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-5319, 6781], [2211685, 276284]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(6781a-5319\\right){x}+276284a+2211685"
"804.3-c1"	"804.3-c"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-282, -65], [-1324, -567]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-65a-282\\right){x}-567a-1324"
"804.3-c2"	"804.3-c"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [94, -30], [808, 136]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-30a+94\\right){x}+136a+808"
"804.3-c3"	"804.3-c"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-6, -10], [84, 12]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-10a-6\\right){x}+12a+84"
"804.3-c4"	"804.3-c"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-10, 2], [-12, 0]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(2a-10\\right){x}-12"
"804.3-d1"	"804.3-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [68685, -661], [-137833, 1327623]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-661a+68685\\right){x}+1327623a-137833"
"804.3-d2"	"804.3-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-296, 49], [7873, -722]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(49a-296\\right){x}-722a+7873"
"804.3-d3"	"804.3-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [124, 10], [-247, -58]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(10a+124\\right){x}-58a-247"
"804.3-d4"	"804.3-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 0], [4285, -41], [-2537, 21799]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-41a+4285\\right){x}+21799a-2537"
"804.3-e1"	"804.3-e"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-199, 82], [637, 711]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(82a-199\\right){x}+711a+637"
"804.3-e2"	"804.3-e"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [875, 37], [-4187, 1643]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(37a+875\\right){x}+1643a-4187"
"804.3-e3"	"804.3-e"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [55, -3], [-307, 3]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-3a+55\\right){x}+3a-307"
"804.3-e4"	"804.3-e"	"2.0.111.1"	[28, -1, 1]	804	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-11, 7], [-21, -15]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(7a-11\\right){x}-15a-21"
"804.3-f1"	"804.3-f"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-1108539, 78121], [426738335, -46599669]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(78121a-1108539\\right){x}-46599669a+426738335"
"804.3-f2"	"804.3-f"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-18280, 3040], [-698888, 231356]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(3040a-18280\\right){x}+231356a-698888"
"804.3-f3"	"804.3-f"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-21160, -5600], [504952, 1188668]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-5600a-21160\\right){x}+1188668a+504952"
"804.3-f4"	"804.3-f"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [-591, 753], [-81907, -10233]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(753a-591\\right){x}-10233a-81907"
"804.4-a1"	"804.4-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [68024, 661], [1189790, -1327623]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(661a+68024\\right){x}-1327623a+1189790"
"804.4-a2"	"804.4-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [0, 1], [-246, -50], [7152, 721]]	"{y}^2+{x}{y}+a{y}={x}^3+{x}^2+\\left(-50a-246\\right){x}+721a+7152"
"804.4-a3"	"804.4-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [136, -12], [-304, 57]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-12a+136\\right){x}+57a-304"
"804.4-a4"	"804.4-a"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 0], [4244, 41], [19262, -21799]]	"{y}^2+{x}{y}+{y}={x}^3-a{x}^2+\\left(41a+4244\\right){x}-21799a+19262"
"804.4-b1"	"804.4-b"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-117, -83], [1348, -712]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-83a-117\\right){x}-712a+1348"
"804.4-b2"	"804.4-b"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [912, -35], [-1632, -1679]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-35a+912\\right){x}-1679a-1632"
"804.4-b3"	"804.4-b"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [52, 5], [-252, 1]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(5a+52\\right){x}+a-252"
"804.4-b4"	"804.4-b"	"2.0.111.1"	[28, -1, 1]	804	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-3, -8], [-35, 14]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-8a-3\\right){x}+14a-35"
"804.4-c1"	"804.4-c"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[4]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-1030418, -78119], [379108248, 46521549]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-78119a-1030418\\right){x}+46521549a+379108248"
"804.4-c2"	"804.4-c"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-15268, -3039], [-482800, -234396]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-3039a-15268\\right){x}-234396a-482800"
"804.4-c3"	"804.4-c"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-26788, 5601], [1666832, -1183068]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(5601a-26788\\right){x}-1183068a+1666832"
"804.4-c4"	"804.4-c"	"2.0.111.1"	[28, -1, 1]	804	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [162, -754], [-92140, 10232]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-754a+162\\right){x}+10232a-92140"
"804.4-d1"	"804.4-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-41364, 11072], [-952463, 1312111]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(11072a-41364\\right){x}+1312111a-952463"
"804.4-d2"	"804.4-d"	"2.0.111.1"	[28, -1, 1]	804	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-72, -3], [368, -136]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-3a-72\\right){x}-136a+368"
"804.4-d3"	"804.4-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [44, -141], [912, 257]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-141a+44\\right){x}+257a+912"
"804.4-d4"	"804.4-d"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 1], [-2584, 692], [-15807, 20703]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(692a-2584\\right){x}+20703a-15807"
"804.4-e1"	"804.4-e"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [43711, 215621], [-366448859, -49742485]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(215621a+43711\\right){x}-49742485a-366448859"
"804.4-e2"	"804.4-e"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [55955, -26285], [21319799, -1579737]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-26285a+55955\\right){x}-1579737a+21319799"
"804.4-e3"	"804.4-e"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-227005, -9905], [91636151, 4785207]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-9905a-227005\\right){x}+4785207a+91636151"
"804.4-e4"	"804.4-e"	"2.0.111.1"	[28, -1, 1]	804	1	[4]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [1462, -6782], [2487969, -276285]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-6782a+1462\\right){x}-276285a+2487969"
"804.4-f1"	"804.4-f"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-348, 67], [-2239, 633]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(67a-348\\right){x}+633a-2239"
"804.4-f2"	"804.4-f"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [92, 17], [300, -28]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(17a+92\\right){x}-28a+300"
"804.4-f3"	"804.4-f"	"2.0.111.1"	[28, -1, 1]	804	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [12, -3], [12, -4]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3a+12\\right){x}-4a+12"
"804.4-f4"	"804.4-f"	"2.0.111.1"	[28, -1, 1]	804	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-10, 0], [-3, 1]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2-10{x}+a-3"
"810.2-a1"	"810.2-a"	"2.0.111.1"	[28, -1, 1]	810	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [525, -84], [5522, 542]]	"{y}^2+a{y}={x}^3+\\left(-84a+525\\right){x}+542a+5522"
"810.2-b1"	"810.2-b"	"2.0.111.1"	[28, -1, 1]	810	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [21, -12], [150, 12]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-12a+21\\right){x}+12a+150"
"810.2-c1"	"810.2-c"	"2.0.111.1"	[28, -1, 1]	810	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [236, -31], [-188, 365]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-31a+236\\right){x}+365a-188"
"810.2-d1"	"810.2-d"	"2.0.111.1"	[28, -1, 1]	810	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [-736, -751], [51868, -16573]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-751a-736\\right){x}-16573a+51868"
"810.3-a1"	"810.3-a"	"2.0.111.1"	[28, -1, 1]	810	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [441, 84], [6064, -543]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(84a+441\\right){x}-543a+6064"
"810.3-b1"	"810.3-b"	"2.0.111.1"	[28, -1, 1]	810	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [11, 10], [163, -13]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(10a+11\\right){x}-13a+163"
"810.3-c1"	"810.3-c"	"2.0.111.1"	[28, -1, 1]	810	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [206, 29], [177, -366]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(29a+206\\right){x}-366a+177"
"810.3-d1"	"810.3-d"	"2.0.111.1"	[28, -1, 1]	810	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [-1486, 749], [35295, 16572]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(749a-1486\\right){x}+16572a+35295"
"826.1-a1"	"826.1-a"	"2.0.111.1"	[28, -1, 1]	826	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [17654, -2547], [-973648, -106927]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-2547a+17654\\right){x}-106927a-973648"
"826.1-a2"	"826.1-a"	"2.0.111.1"	[28, -1, 1]	826	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [-231, -142], [3237, -1957]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(-142a-231\\right){x}-1957a+3237"
"826.1-a3"	"826.1-a"	"2.0.111.1"	[28, -1, 1]	826	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 1], [2289, 1048], [11441, 23306]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+{x}^2+\\left(1048a+2289\\right){x}+23306a+11441"
"826.1-b1"	"826.1-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-427, -625], [-39683, 14471]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-625a-427\\right){x}+14471a-39683"
"826.1-b2"	"826.1-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-112, 0], [-448, 16]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2-112{x}+16a-448"
"826.1-b3"	"826.1-b"	"2.0.111.1"	[28, -1, 1]	826	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [1008, 0], [6048, -656]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+1008{x}-656a+6048"
"826.3-a1"	"826.3-a"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [-901, 272], [4164, -5358]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+\\left(272a-901\\right){x}-5358a+4164"
"826.3-a2"	"826.3-a"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [1349, -228], [11628, -20375]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+\\left(-228a+1349\\right){x}-20375a+11628"
"826.3-a3"	"826.3-a"	"2.0.111.1"	[28, -1, 1]	826	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [19, 12], [176, -19]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+\\left(12a+19\\right){x}-19a+176"
"826.3-b1"	"826.3-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [134, 31], [-2563, 37]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(31a+134\\right){x}+37a-2563"
"826.3-b2"	"826.3-b"	"2.0.111.1"	[28, -1, 1]	826	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-56, -59], [-6019, 133]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-59a-56\\right){x}+133a-6019"
"826.3-b3"	"826.3-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [14, -9], [29, 5]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-9a+14\\right){x}+5a+29"
"826.6-a1"	"826.6-a"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [-628, -273], [-1194, 5358]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-273a-628\\right){x}+5358a-1194"
"826.6-a2"	"826.6-a"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [1122, 227], [-8747, 20375]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(227a+1122\\right){x}+20375a-8747"
"826.6-a3"	"826.6-a"	"2.0.111.1"	[28, -1, 1]	826	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [32, -13], [157, 19]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-13a+32\\right){x}+19a+157"
"826.6-b1"	"826.6-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [167, -45], [-1433, 97]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-45a+167\\right){x}+97a-1433"
"826.6-b2"	"826.6-b"	"2.0.111.1"	[28, -1, 1]	826	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-113, 45], [-7313, -189]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(45a-113\\right){x}-189a-7313"
"826.6-b3"	"826.6-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [7, -5], [7, 9]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a+7\\right){x}+9a+7"
"826.8-a1"	"826.8-a"	"2.0.111.1"	[28, -1, 1]	826	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [15107, 2547], [-1095682, 104380]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2547a+15107\\right){x}+104380a-1095682"
"826.8-a2"	"826.8-a"	"2.0.111.1"	[28, -1, 1]	826	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [-373, 142], [1653, 1815]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(142a-373\\right){x}+1815a+1653"
"826.8-a3"	"826.8-a"	"2.0.111.1"	[28, -1, 1]	826	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [1, 0], [3337, -1048], [31410, -22258]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1048a+3337\\right){x}-22258a+31410"
"826.8-b1"	"826.8-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-1052, 625], [-25212, -14471]]	"{y}^2+a{x}{y}={x}^3+\\left(625a-1052\\right){x}-14471a-25212"
"826.8-b2"	"826.8-b"	"2.0.111.1"	[28, -1, 1]	826	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-112, 0], [-432, -16]]	"{y}^2+a{x}{y}={x}^3-112{x}-16a-432"
"826.8-b3"	"826.8-b"	"2.0.111.1"	[28, -1, 1]	826	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [1008, 0], [5392, 656]]	"{y}^2+a{x}{y}={x}^3+1008{x}+656a+5392"
"828.3-a1"	"828.3-a"	"2.0.111.1"	[28, -1, 1]	828	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-7, -7], [42, -7]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-7a-7\\right){x}-7a+42"
"828.3-a2"	"828.3-a"	"2.0.111.1"	[28, -1, 1]	828	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [198, 48], [-2976, 27]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(48a+198\\right){x}+27a-2976"
"828.3-b1"	"828.3-b"	"2.0.111.1"	[28, -1, 1]	828	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [135, 184], [10673, 656]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(184a+135\\right){x}+656a+10673"
"828.3-c1"	"828.3-c"	"2.0.111.1"	[28, -1, 1]	828	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-12, -21], [580, 153]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-21a-12\\right){x}+153a+580"
"828.3-d1"	"828.3-d"	"2.0.111.1"	[28, -1, 1]	828	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-782, -35], [8221, -2370]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-35a-782\\right){x}-2370a+8221"
"828.3-e1"	"828.3-e"	"2.0.111.1"	[28, -1, 1]	828	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-112, 22], [44, 116]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(22a-112\\right){x}+116a+44"
"828.3-f1"	"828.3-f"	"2.0.111.1"	[28, -1, 1]	828	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [0, -40], [659, -136]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-40a{x}-136a+659"
"828.3-f2"	"828.3-f"	"2.0.111.1"	[28, -1, 1]	828	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-1175, 360], [-337, -6648]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(360a-1175\\right){x}-6648a-337"
"828.4-a1"	"828.4-a"	"2.0.111.1"	[28, -1, 1]	828	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-12, 5], [36, 6]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(5a-12\\right){x}+6a+36"
"828.4-a2"	"828.4-a"	"2.0.111.1"	[28, -1, 1]	828	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [248, -50], [-2948, -28]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-50a+248\\right){x}-28a-2948"
"828.4-b1"	"828.4-b"	"2.0.111.1"	[28, -1, 1]	828	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-816, 34], [5852, 2369]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(34a-816\\right){x}+2369a+5852"
"828.4-c1"	"828.4-c"	"2.0.111.1"	[28, -1, 1]	828	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-90, -24], [160, -117]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-24a-90\\right){x}-117a+160"
"828.4-d1"	"828.4-d"	"2.0.111.1"	[28, -1, 1]	828	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [319, -185], [11329, -657]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-185a+319\\right){x}-657a+11329"
"828.4-e1"	"828.4-e"	"2.0.111.1"	[28, -1, 1]	828	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-33, 21], [733, -153]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(21a-33\\right){x}-153a+733"
"828.4-f1"	"828.4-f"	"2.0.111.1"	[28, -1, 1]	828	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-40, 40], [523, 136]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(40a-40\\right){x}+136a+523"
"828.4-f2"	"828.4-f"	"2.0.111.1"	[28, -1, 1]	828	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-815, -360], [-6985, 6648]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-360a-815\\right){x}+6648a-6985"
"834.1-a1"	"834.1-a"	"2.0.111.1"	[28, -1, 1]	834	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [12, -4], [58, -22]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+\\left(-4a+12\\right){x}-22a+58"
"834.1-a2"	"834.1-a"	"2.0.111.1"	[28, -1, 1]	834	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 0], [17, 1], [-18, -2]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3-a{x}^2+\\left(a+17\\right){x}-2a-18"
"834.1-b1"	"834.1-b"	"2.0.111.1"	[28, -1, 1]	834	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [5, -46], [-1667, 938]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-46a+5\\right){x}+938a-1667"
"834.1-b2"	"834.1-b"	"2.0.111.1"	[28, -1, 1]	834	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [50, -1], [-20, -7]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a+50\\right){x}-7a-20"
"834.4-a1"	"834.4-a"	"2.0.111.1"	[28, -1, 1]	834	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [19, -2], [-20, 2]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(-2a+19\\right){x}+2a-20"
"834.4-a2"	"834.4-a"	"2.0.111.1"	[28, -1, 1]	834	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [1, 0], [9, 3], [36, 22]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(3a+9\\right){x}+22a+36"
"834.4-b1"	"834.4-b"	"2.0.111.1"	[28, -1, 1]	834	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [50, -1], [-27, 6]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a+50\\right){x}+6a-27"
"834.4-b2"	"834.4-b"	"2.0.111.1"	[28, -1, 1]	834	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [-40, 44], [-729, -939]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(44a-40\\right){x}-939a-729"
"840.10-a1"	"840.10-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-24049, -1740], [-1317175, -154265]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-1740a-24049\\right){x}-154265a-1317175"
"840.10-a2"	"840.10-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [-453, -63], [1409, 899]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-63a-453\\right){x}+899a+1409"
"840.10-b1"	"840.10-b"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [-342, -276], [-19960, 5735]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-276a-342\\right){x}+5735a-19960"
"840.10-b2"	"840.10-b"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [53, 29], [762, -147]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(29a+53\\right){x}-147a+762"
"840.10-c1"	"840.10-c"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [208, -8], [240, 297]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-8a+208\\right){x}+297a+240"
"840.10-c2"	"840.10-c"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [208, -248], [-14208, 2397]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-248a+208\\right){x}+2397a-14208"
"840.10-c3"	"840.10-c"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-5969, -1354], [263705, 83655]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-1354a-5969\\right){x}+83655a+263705"
"840.10-c4"	"840.10-c"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [671, 126], [-11671, -1329]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(126a+671\\right){x}-1329a-11671"
"840.10-d1"	"840.10-d"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [1395, 4981], [1239089, 161848]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(4981a+1395\\right){x}+161848a+1239089"
"840.10-d2"	"840.10-d"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [736, -694], [-74587, 718]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-694a+736\\right){x}+718a-74587"
"840.10-e1"	"840.10-e"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [510, -252], [19467, -831]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-252a+510\\right){x}-831a+19467"
"840.10-e2"	"840.10-e"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-6630, -792], [210315, 41397]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-792a-6630\\right){x}+41397a+210315"
"840.10-e3"	"840.10-e"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [9680, -459], [-281912, -80662]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(-459a+9680\\right){x}-80662a-281912"
"840.10-e4"	"840.10-e"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [-960, 61], [12088, 1154]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(61a-960\\right){x}+1154a+12088"
"840.10-f1"	"840.10-f"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [1499, 38], [14669, -4399]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(38a+1499\\right){x}-4399a+14669"
"840.10-f2"	"840.10-f"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-146, -17], [-171, 9]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-17a-146\\right){x}+9a-171"
"840.12-a1"	"840.12-a"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [61, 147], [-10303, -1129]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(147a+61\\right){x}-1129a-10303"
"840.12-a2"	"840.12-a"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-3814, 802], [-59148, 25344]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(802a-3814\\right){x}+25344a-59148"
"840.12-b1"	"840.12-b"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-743, -54], [9645, 702]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-54a-743\\right){x}+702a+9645"
"840.12-b2"	"840.12-b"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-1618, -959], [60283, -28256]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-959a-1618\\right){x}-28256a+60283"
"840.13-a1"	"840.13-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-426, 42], [3787, -735]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(42a-426\\right){x}-735a+3787"
"840.13-a2"	"840.13-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-336, -48], [-983, -501]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-48a-336\\right){x}-501a-983"
"840.13-a3"	"840.13-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-21, -3], [88, -24]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-3a-21\\right){x}-24a+88"
"840.13-a4"	"840.13-a"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [24, -3], [-29, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-3a+24\\right){x}+3a-29"
"840.13-b1"	"840.13-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-38, 6], [-17, 13]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6a-38\\right){x}+13a-17"
"840.13-b2"	"840.13-b"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-28, -4], [133, 31]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-4a-28\\right){x}+31a+133"
"840.13-b3"	"840.13-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [7, 1], [0, 0]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+7\\right){x}"
"840.13-b4"	"840.13-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [12, 1], [-9, -1]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+12\\right){x}-a-9"
"840.14-a1"	"840.14-a"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [-14, -19], [796, 69]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-19a-14\\right){x}+69a+796"
"840.14-a2"	"840.14-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-183, -59], [208, -357]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-59a-183\\right){x}-357a+208"
"840.14-a3"	"840.14-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-1158, -204], [13212, 4335]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-204a-1158\\right){x}+4335a+13212"
"840.14-a4"	"840.14-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-107, -12], [426, 36]]	"{y}^2={x}^3+a{x}^2+\\left(-12a-107\\right){x}+36a+426"
"840.14-b1"	"840.14-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-14, -8], [95, -16]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-8a-14\\right){x}-16a+95"
"840.14-b2"	"840.14-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [404, -15], [-785, 615]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-15a+404\\right){x}+615a-785"
"840.14-b3"	"840.14-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [1629, -120], [-15534, -3060]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-120a+1629\\right){x}-3060a-15534"
"840.14-b4"	"840.14-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-680, 77], [7591, -1233]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(77a-680\\right){x}-1233a+7591"
"840.15-a1"	"840.15-a"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 1], [0, 0], [8, -1]]	"{y}^2+\\left(a+1\\right){y}={x}^3-{x}^2-a+8"
"840.15-b1"	"840.15-b"	"2.0.111.1"	[28, -1, 1]	840	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [822, 1146], [-171953, -17571]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(1146a+822\\right){x}-17571a-171953"
"840.15-b2"	"840.15-b"	"2.0.111.1"	[28, -1, 1]	840	"0 \\le r \\le 2"	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-3583, 513], [-55840, 17227]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(513a-3583\\right){x}+17227a-55840"
"840.15-b3"	"840.15-b"	"2.0.111.1"	[28, -1, 1]	840	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [1772, 698], [-333600, 30507]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(698a+1772\\right){x}+30507a-333600"
"840.15-b4"	"840.15-b"	"2.0.111.1"	[28, -1, 1]	840	"0 \\le r \\le 2"	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [3997, -456], [-23002, -15394]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-456a+3997\\right){x}-15394a-23002"
"840.15-c1"	"840.15-c"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [105, 124], [4872, 302]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(124a+105\\right){x}+302a+4872"
"840.15-c2"	"840.15-c"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [100, 124], [4959, 285]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(124a+100\\right){x}+285a+4959"
"840.15-c3"	"840.15-c"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [695, -11], [9124, 3820]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-11a+695\\right){x}+3820a+9124"
"840.15-c4"	"840.15-c"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 0], [-151, 847], [27182, 16586]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(847a-151\\right){x}+16586a+27182"
"840.15-d1"	"840.15-d"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [-3, 0], [-25, 6]]	"{y}^2+\\left(a+1\\right){y}={x}^3-3{x}+6a-25"
"840.2-a1"	"840.2-a"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 1], [0, 0], [8, 0]]	"{y}^2+a{y}={x}^3-{x}^2+8"
"840.2-b1"	"840.2-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [1968, -1146], [-189524, 17571]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-1146a+1968\\right){x}+17571a-189524"
"840.2-b2"	"840.2-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-3068, -515], [-38612, -17228]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-515a-3068\\right){x}-17228a-38612"
"840.2-b3"	"840.2-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [2472, -700], [-303092, -30508]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-700a+2472\\right){x}-30508a-303092"
"840.2-b4"	"840.2-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [3568, 443], [-54564, 18962]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(443a+3568\\right){x}+18962a-54564"
"840.2-c1"	"840.2-c"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [229, -124], [5174, -302]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-124a+229\\right){x}-302a+5174"
"840.2-c2"	"840.2-c"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [224, -124], [5244, -285]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-124a+224\\right){x}-285a+5244"
"840.2-c3"	"840.2-c"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [684, 11], [12944, -3820]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(11a+684\\right){x}-3820a+12944"
"840.2-c4"	"840.2-c"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [696, -847], [43768, -16586]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-847a+696\\right){x}-16586a+43768"
"840.2-d1"	"840.2-d"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [-3, 0], [-18, -7]]	"{y}^2+a{y}={x}^3-3{x}-7a-18"
"840.3-a1"	"840.3-a"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [-31, 17], [866, -70]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(17a-31\\right){x}-70a+866"
"840.3-a2"	"840.3-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-240, 57], [-148, 356]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(57a-240\\right){x}+356a-148"
"840.3-a3"	"840.3-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-1360, 202], [17548, -4336]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(202a-1360\\right){x}-4336a+17548"
"840.3-a4"	"840.3-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-119, 12], [462, -36]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(12a-119\\right){x}-36a+462"
"840.3-b1"	"840.3-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [7, -7], [73, 8]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-7a+7\\right){x}+8a+73"
"840.3-b2"	"840.3-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [389, 15], [-170, -615]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(15a+389\\right){x}-615a-170"
"840.3-b3"	"840.3-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [1509, 120], [-18594, 3060]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(120a+1509\\right){x}+3060a-18594"
"840.3-b4"	"840.3-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-603, -77], [6358, 1233]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-77a-603\\right){x}+1233a+6358"
"840.4-a1"	"840.4-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-384, -42], [3052, 735]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-42a-384\\right){x}+735a+3052"
"840.4-a2"	"840.4-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-384, 48], [-1484, 501]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(48a-384\\right){x}+501a-1484"
"840.4-a3"	"840.4-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-24, 3], [64, 24]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a-24\\right){x}+24a+64"
"840.4-a4"	"840.4-a"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [21, 3], [-26, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+21\\right){x}-3a-26"
"840.4-b1"	"840.4-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-32, -6], [-4, -13]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-6a-32\\right){x}-13a-4"
"840.4-b2"	"840.4-b"	"2.0.111.1"	[28, -1, 1]	840	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-32, 4], [164, -31]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(4a-32\\right){x}-31a+164"
"840.4-b3"	"840.4-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [8, -1], [0, 0]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-a+8\\right){x}"
"840.4-b4"	"840.4-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [13, -1], [-10, 1]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(-a+13\\right){x}+a-10"
"840.5-a1"	"840.5-a"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [236, -160], [-7120, 1204]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-160a+236\\right){x}+1204a-7120"
"840.5-a2"	"840.5-a"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-2984, -815], [-11152, -29144]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-815a-2984\\right){x}-29144a-11152"
"840.5-b1"	"840.5-b"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-796, 54], [11144, -756]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(54a-796\\right){x}-756a+11144"
"840.5-b2"	"840.5-b"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-2576, 959], [34604, 27297]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(959a-2576\\right){x}+27297a+34604"
"840.7-a1"	"840.7-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 0], [-25789, 1740], [-1471440, 154265]]	"{y}^2+a{x}{y}={x}^3+{x}^2+\\left(1740a-25789\\right){x}+154265a-1471440"
"840.7-a2"	"840.7-a"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [-516, 63], [2308, -899]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(63a-516\\right){x}-899a+2308"
"840.7-b1"	"840.7-b"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [-616, 274], [-14224, -5736]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(274a-616\\right){x}-5736a-14224"
"840.7-b2"	"840.7-b"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [84, -31], [616, 146]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-31a+84\\right){x}+146a+616"
"840.7-c1"	"840.7-c"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [200, 8], [537, -297]]	"{y}^2={x}^3-a{x}^2+\\left(8a+200\\right){x}-297a+537"
"840.7-c2"	"840.7-c"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-40, 248], [-11811, -2397]]	"{y}^2={x}^3-a{x}^2+\\left(248a-40\\right){x}-2397a-11811"
"840.7-c3"	"840.7-c"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-7296, 1355], [354684, -85010]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1355a-7296\\right){x}-85010a+354684"
"840.7-c4"	"840.7-c"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [824, -125], [-13796, 1454]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-125a+824\\right){x}+1454a-13796"
"840.7-d1"	"840.7-d"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [6403, -4994], [1534170, -155445]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-4994a+6403\\right){x}-155445a+1534170"
"840.7-d2"	"840.7-d"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [44, 692], [-73868, -719]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(692a+44\\right){x}-719a-73868"
"840.7-e1"	"840.7-e"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [259, 252], [18378, 579]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(252a+259\\right){x}+579a+18378"
"840.7-e2"	"840.7-e"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-7421, 792], [259134, -42189]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(792a-7421\\right){x}-42189a+259134"
"840.7-e3"	"840.7-e"	"2.0.111.1"	[28, -1, 1]	840	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [9221, 459], [-362574, 80662]]	"{y}^2+a{x}{y}={x}^3+\\left(459a+9221\\right){x}+80662a-362574"
"840.7-e4"	"840.7-e"	"2.0.111.1"	[28, -1, 1]	840	1	[6]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [-899, -61], [13242, -1154]]	"{y}^2+a{x}{y}={x}^3+\\left(-61a-899\\right){x}-1154a+13242"
"840.7-f1"	"840.7-f"	"2.0.111.1"	[28, -1, 1]	840	0	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [1539, -52], [11559, 5898]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-52a+1539\\right){x}+5898a+11559"
"840.7-f2"	"840.7-f"	"2.0.111.1"	[28, -1, 1]	840	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-161, 3], [-413, -155]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(3a-161\\right){x}-155a-413"
"840.8-a1"	"840.8-a"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [80, -39], [-1767, 212]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(-39a+80\\right){x}+212a-1767"
"840.8-a2"	"840.8-a"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-168, 23], [1780, -376]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(23a-168\\right){x}-376a+1780"
"840.8-b1"	"840.8-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-36, -4], [81, 3]]	"{y}^2={x}^3+a{x}^2+\\left(-4a-36\\right){x}+3a+81"
"840.8-b2"	"840.8-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 1], [-7, -40], [-1778, 361]]	"{y}^2+a{x}{y}+a{y}={x}^3-a{x}^2+\\left(-40a-7\\right){x}+361a-1778"
"840.9-a1"	"840.9-a"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [41, 39], [-1555, -212]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(39a+41\\right){x}-212a-1555"
"840.9-a2"	"840.9-a"	"2.0.111.1"	[28, -1, 1]	840	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-159, -38], [2258, 193]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-38a-159\\right){x}+193a+2258"
"840.9-b1"	"840.9-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-40, 4], [84, -3]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(4a-40\\right){x}-3a+84"
"840.9-b2"	"840.9-b"	"2.0.111.1"	[28, -1, 1]	840	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [1, 1], [-47, 38], [-1417, -362]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(38a-47\\right){x}-362a-1417"
"844.2-a1"	"844.2-a"	"2.0.111.1"	[28, -1, 1]	844	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 1], [-16, -3], [92, 42]]	"{y}^2+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-16\\right){x}+42a+92"
"844.2-b1"	"844.2-b"	"2.0.111.1"	[28, -1, 1]	844	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 1], [-19, 3], [-14, -43]]	"{y}^2+a{y}={x}^3-a{x}^2+\\left(3a-19\\right){x}-43a-14"
"844.5-a1"	"844.5-a"	"2.0.111.1"	[28, -1, 1]	844	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [1, 1], [-19, 3], [134, -43]]	"{y}^2+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(3a-19\\right){x}-43a+134"
"844.5-b1"	"844.5-b"	"2.0.111.1"	[28, -1, 1]	844	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [1, 1], [-16, -3], [-57, 42]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-16\\right){x}+42a-57"
"850.1-a1"	"850.1-a"	"2.0.111.1"	[28, -1, 1]	850	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [0, 1], [28, 0], [-6, -1]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+28{x}-a-6"
"850.1-b1"	"850.1-b"	"2.0.111.1"	[28, -1, 1]	850	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [56, -4], [-58, -4]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-4a+56\\right){x}-4a-58"
"850.12-a1"	"850.12-a"	"2.0.111.1"	[28, -1, 1]	850	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [1, 1], [29, -2], [-7, 0]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-2a+29\\right){x}-7"
"850.12-b1"	"850.12-b"	"2.0.111.1"	[28, -1, 1]	850	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [53, 2], [-62, 3]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(2a+53\\right){x}+3a-62"
"850.4-a1"	"850.4-a"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-5194, -674], [-113156, -31441]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-674a-5194\\right){x}-31441a-113156"
"850.4-a2"	"850.4-a"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [1926, -784], [-105852, 5897]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-784a+1926\\right){x}+5897a-105852"
"850.4-a3"	"850.4-a"	"2.0.111.1"	[28, -1, 1]	850	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-194, -49], [-3656, -566]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-49a-194\\right){x}-566a-3656"
"850.4-a4"	"850.4-a"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-14, 36], [-932, -113]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(36a-14\\right){x}-113a-932"
"850.4-b1"	"850.4-b"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-957, 95], [-9769, 1100]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(95a-957\\right){x}+1100a-9769"
"850.4-b2"	"850.4-b"	"2.0.111.1"	[28, -1, 1]	850	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-437, -105], [4359, 1180]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-105a-437\\right){x}+1180a+4359"
"850.4-b3"	"850.4-b"	"2.0.111.1"	[28, -1, 1]	850	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [-57, -5], [-49, 20]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a-57\\right){x}+20a-49"
"850.4-b4"	"850.4-b"	"2.0.111.1"	[28, -1, 1]	850	1	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [23, -5], [-81, 20]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a+23\\right){x}+20a-81"
"850.9-a1"	"850.9-a"	"2.0.111.1"	[28, -1, 1]	850	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-515, 92], [3310, -1709]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(92a-515\\right){x}-1709a+3310"
"850.9-a2"	"850.9-a"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-835, -108], [-4978, -1949]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-108a-835\\right){x}-1949a-4978"
"850.9-a3"	"850.9-a"	"2.0.111.1"	[28, -1, 1]	850	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [-35, -8], [62, -69]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-8a-35\\right){x}-69a+62"
"850.9-a4"	"850.9-a"	"2.0.111.1"	[28, -1, 1]	850	1	[4]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [45, -8], [-50, 11]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-8a+45\\right){x}+11a-50"
"850.9-b1"	"850.9-b"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [1143, 783], [-99954, -5898]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(783a+1143\\right){x}-5898a-99954"
"850.9-b2"	"850.9-b"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-5867, 673], [-144596, 31440]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(673a-5867\\right){x}+31440a-144596"
"850.9-b3"	"850.9-b"	"2.0.111.1"	[28, -1, 1]	850	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-242, 48], [-4221, 565]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(48a-242\\right){x}+565a-4221"
"850.9-b4"	"850.9-b"	"2.0.111.1"	[28, -1, 1]	850	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [23, -37], [-1044, 112]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-37a+23\\right){x}+112a-1044"
"864.2-a1"	"864.2-a"	"2.0.111.1"	[28, -1, 1]	864	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [95, 1], [-201, -61]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a+95\\right){x}-61a-201"
"864.2-a2"	"864.2-a"	"2.0.111.1"	[28, -1, 1]	864	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [15, -3], [1, 3]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-3a+15\\right){x}+3a+1"
"864.2-b1"	"864.2-b"	"2.0.111.1"	[28, -1, 1]	864	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [15, -9], [-3, 27]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-9a+15\\right){x}+27a-3"
"864.2-c1"	"864.2-c"	"2.0.111.1"	[28, -1, 1]	864	2	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-213, -13], [1165, 48]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-13a-213\\right){x}+48a+1165"
"864.2-d1"	"864.2-d"	"2.0.111.1"	[28, -1, 1]	864	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [15, 3], [-13, -3]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+15\\right){x}-3a-13"
"864.2-d2"	"864.2-d"	"2.0.111.1"	[28, -1, 1]	864	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-45, -12], [23, 114]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-12a-45\\right){x}+114a+23"
"864.5-a1"	"864.5-a"	"2.0.111.1"	[28, -1, 1]	864	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [6, 9], [24, -27]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(9a+6\\right){x}-27a+24"
"864.5-b1"	"864.5-b"	"2.0.111.1"	[28, -1, 1]	864	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [96, -3], [-262, 60]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-3a+96\\right){x}+60a-262"
"864.5-b2"	"864.5-b"	"2.0.111.1"	[28, -1, 1]	864	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [12, 3], [4, -3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(3a+12\\right){x}-3a+4"
"864.5-c1"	"864.5-c"	"2.0.111.1"	[28, -1, 1]	864	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [18, -3], [-16, 3]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-3a+18\\right){x}+3a-16"
"864.5-c2"	"864.5-c"	"2.0.111.1"	[28, -1, 1]	864	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-57, 12], [137, -114]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(12a-57\\right){x}-114a+137"
"864.5-d1"	"864.5-d"	"2.0.111.1"	[28, -1, 1]	864	2	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-226, 11], [1213, -49]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(11a-226\\right){x}-49a+1213"
"867.2-a1"	"867.2-a"	"2.0.111.1"	[28, -1, 1]	867	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 0], [-1611, -610], [117270, -302088]]	"{y}^2+{x}{y}={x}^3-a{x}^2+\\left(-610a-1611\\right){x}-302088a+117270"
"867.2-b1"	"867.2-b"	"2.0.111.1"	[28, -1, 1]	867	2	[3]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-534, 0], [4752, 0]]	"{y}^2+{y}={x}^3-534{x}+4752"
"867.2-b2"	"867.2-b"	"2.0.111.1"	[28, -1, 1]	867	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [6, 0], [27, 0]]	"{y}^2+{y}={x}^3+6{x}+27"
"867.2-c1"	"867.2-c"	"2.0.111.1"	[28, -1, 1]	867	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-59, 0], [-196, 0]]	"{y}^2+{y}={x}^3+{x}^2-59{x}-196"
"867.2-c2"	"867.2-c"	"2.0.111.1"	[28, -1, 1]	867	0	[3]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [1, 0], [-1, 0]]	"{y}^2+{y}={x}^3+{x}^2+{x}-1"
"867.2-d1"	"867.2-d"	"2.0.111.1"	[28, -1, 1]	867	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 0], [-2221, 610], [-184818, 302088]]	"{y}^2+{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(610a-2221\\right){x}+302088a-184818"
"870.2-a1"	"870.2-a"	"2.0.111.1"	[28, -1, 1]	870	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [-506, 96], [-3360, 1517]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(96a-506\\right){x}+1517a-3360"
"870.2-a2"	"870.2-a"	"2.0.111.1"	[28, -1, 1]	870	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [6, 63], [-3152, -175]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(63a+6\\right){x}-175a-3152"
"870.2-b1"	"870.2-b"	"2.0.111.1"	[28, -1, 1]	870	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [-176, -120], [5193, -1578]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-120a-176\\right){x}-1578a+5193"
"870.2-b2"	"870.2-b"	"2.0.111.1"	[28, -1, 1]	870	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [68, -1], [-183, 42]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-a+68\\right){x}+42a-183"
"870.4-a1"	"870.4-a"	"2.0.111.1"	[28, -1, 1]	870	2	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [786, -257], [-25580, 104]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-257a+786\\right){x}+104a-25580"
"870.4-b1"	"870.4-b"	"2.0.111.1"	[28, -1, 1]	870	2	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 0], [3753, 218], [37382, -15240]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+a{x}^2+\\left(218a+3753\\right){x}-15240a+37382"
"870.4-c1"	"870.4-c"	"2.0.111.1"	[28, -1, 1]	870	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [-824, 166], [5032, -3453]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(166a-824\\right){x}-3453a+5032"
"870.4-d1"	"870.4-d"	"2.0.111.1"	[28, -1, 1]	870	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 1], [2310, 1273], [-245321, -5683]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(1273a+2310\\right){x}-5683a-245321"
"870.4-e1"	"870.4-e"	"2.0.111.1"	[28, -1, 1]	870	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [515, -90], [-6925, -257]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-90a+515\\right){x}-257a-6925"
"870.4-f1"	"870.4-f"	"2.0.111.1"	[28, -1, 1]	870	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-124, -46], [1059, 276]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-46a-124\\right){x}+276a+1059"
"870.5-a1"	"870.5-a"	"2.0.111.1"	[28, -1, 1]	870	2	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [528, 259], [-24948, 154]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(259a+528\\right){x}+154a-24948"
"870.5-b1"	"870.5-b"	"2.0.111.1"	[28, -1, 1]	870	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [3582, -1272], [-254586, 6954]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-1272a+3582\\right){x}+6954a-254586"
"870.5-c1"	"870.5-c"	"2.0.111.1"	[28, -1, 1]	870	2	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [1, 0], [3999, -232], [24429, 19239]]	"{y}^2+a{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-232a+3999\\right){x}+19239a+24429"
"870.5-d1"	"870.5-d"	"2.0.111.1"	[28, -1, 1]	870	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [427, 88], [-7181, 256]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(88a+427\\right){x}+256a-7181"
"870.5-e1"	"870.5-e"	"2.0.111.1"	[28, -1, 1]	870	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [-673, -179], [7054, 2794]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-179a-673\\right){x}+2794a+7054"
"870.5-f1"	"870.5-f"	"2.0.111.1"	[28, -1, 1]	870	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-168, 32], [272, -400]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(32a-168\\right){x}-400a+272"
"870.7-a1"	"870.7-a"	"2.0.111.1"	[28, -1, 1]	870	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [68, 1], [-208, -43]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a+68\\right){x}-43a-208"
"870.7-a2"	"870.7-a"	"2.0.111.1"	[28, -1, 1]	870	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 1], [-297, 121], [3912, 1456]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(121a-297\\right){x}+1456a+3912"
"870.7-b1"	"870.7-b"	"2.0.111.1"	[28, -1, 1]	870	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [68, -62], [-3395, 237]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-62a+68\\right){x}+237a-3395"
"870.7-b2"	"870.7-b"	"2.0.111.1"	[28, -1, 1]	870	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [-410, -95], [-2253, -1613]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-95a-410\\right){x}-1613a-2253"
"875.3-a1"	"875.3-a"	"2.0.111.1"	[28, -1, 1]	875	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-12, 6], [-16, -10]]	"{y}^2+{y}={x}^3+{x}^2+\\left(6a-12\\right){x}-10a-16"
"875.3-b1"	"875.3-b"	"2.0.111.1"	[28, -1, 1]	875	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-111, 54], [315, 324]]	"{y}^2+{y}={x}^3+\\left(54a-111\\right){x}+324a+315"
"875.4-a1"	"875.4-a"	"2.0.111.1"	[28, -1, 1]	875	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-137, -4], [554, -28]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-4a-137\\right){x}-28a+554"
"875.4-b1"	"875.4-b"	"2.0.111.1"	[28, -1, 1]	875	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [-158, -150], [-2907, 1550]]	"{y}^2+{y}={x}^3-{x}^2+\\left(-150a-158\\right){x}+1550a-2907"
"875.5-a1"	"875.5-a"	"2.0.111.1"	[28, -1, 1]	875	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-141, 4], [527, 27]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(4a-141\\right){x}+27a+527"
"875.5-b1"	"875.5-b"	"2.0.111.1"	[28, -1, 1]	875	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [-308, 150], [-1357, -1550]]	"{y}^2+{y}={x}^3-{x}^2+\\left(150a-308\\right){x}-1550a-1357"
"875.6-a1"	"875.6-a"	"2.0.111.1"	[28, -1, 1]	875	2	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-6, -6], [-26, 10]]	"{y}^2+{y}={x}^3+{x}^2+\\left(-6a-6\\right){x}+10a-26"
"875.6-b1"	"875.6-b"	"2.0.111.1"	[28, -1, 1]	875	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-57, -54], [639, -324]]	"{y}^2+{y}={x}^3+\\left(-54a-57\\right){x}-324a+639"
"882.1-a1"	"882.1-a"	"2.0.111.1"	[28, -1, 1]	882	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 1], [87, -12], [85, 117]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-12a+87\\right){x}+117a+85"
"882.1-b1"	"882.1-b"	"2.0.111.1"	[28, -1, 1]	882	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 1], [839, -52], [-4803, -1270]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-52a+839\\right){x}-1270a-4803"
"882.2-a1"	"882.2-a"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-4686, 867], [-73692, 35604]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(867a-4686\\right){x}+35604a-73692"
"882.2-a2"	"882.2-a"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-4146, 1122], [-140688, 23967]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(1122a-4146\\right){x}+23967a-140688"
"882.2-b1"	"882.2-b"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-37, -7], [89, 7]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a-37\\right){x}+7a+89"
"882.2-b2"	"882.2-b"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [203, -7], [-343, 343]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7a+203\\right){x}+343a-343"
"882.2-c1"	"882.2-c"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-14, -25], [-1172, -48]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-25a-14\\right){x}-48a-1172"
"882.2-c2"	"882.2-c"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [526, 230], [-19796, 324]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(230a+526\\right){x}+324a-19796"
"882.2-d1"	"882.2-d"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [297, 177], [11223, 60]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(177a+297\\right){x}+60a+11223"
"882.2-d2"	"882.2-d"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [537, 177], [6711, 1020]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(177a+537\\right){x}+1020a+6711"
"882.3-a1"	"882.3-a"	"2.0.111.1"	[28, -1, 1]	882	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-420, 69], [2732, -668]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(69a-420\\right){x}-668a+2732"
"882.3-a2"	"882.3-a"	"2.0.111.1"	[28, -1, 1]	882	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [39, 4], [117, 41]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(4a+39\\right){x}+41a+117"
"882.3-b1"	"882.3-b"	"2.0.111.1"	[28, -1, 1]	882	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 1], [-242, -881], [-68320, 29245]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-881a-242\\right){x}+29245a-68320"
"882.3-b2"	"882.3-b"	"2.0.111.1"	[28, -1, 1]	882	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 1], [-38507, -3986], [3861857, -2747150]]	"{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-3986a-38507\\right){x}-2747150a+3861857"
"882.3-c1"	"882.3-c"	"2.0.111.1"	[28, -1, 1]	882	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 0], [4285, 304], [51755, -28383]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(304a+4285\\right){x}-28383a+51755"
"882.3-c2"	"882.3-c"	"2.0.111.1"	[28, -1, 1]	882	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 0], [40300, -4841], [-3376873, 2784903]]	"{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-4841a+40300\\right){x}+2784903a-3376873"
"882.3-d1"	"882.3-d"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [51, 15], [-295, -62]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(15a+51\\right){x}-62a-295"
"882.3-d2"	"882.3-d"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-5, 0], [-1, -2]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2-5{x}-2a-1"
"882.4-a1"	"882.4-a"	"2.0.111.1"	[28, -1, 1]	882	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 0], [4590, -305], [23372, 28383]]	"{y}^2+a{x}{y}+{y}={x}^3-{x}^2+\\left(-305a+4590\\right){x}+28383a+23372"
"882.4-a2"	"882.4-a"	"2.0.111.1"	[28, -1, 1]	882	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 0], [35460, 4840], [-591970, -2784903]]	"{y}^2+a{x}{y}+{y}={x}^3-{x}^2+\\left(4840a+35460\\right){x}-2784903a-591970"
"882.4-b1"	"882.4-b"	"2.0.111.1"	[28, -1, 1]	882	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-351, -69], [2064, 668]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-69a-351\\right){x}+668a+2064"
"882.4-b2"	"882.4-b"	"2.0.111.1"	[28, -1, 1]	882	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [43, -5], [158, -42]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a+43\\right){x}-42a+158"
"882.4-c1"	"882.4-c"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [68, -17], [-356, 61]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-17a+68\\right){x}+61a-356"
"882.4-c2"	"882.4-c"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-5, 0], [-3, 2]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2-5{x}+2a-3"
"882.4-d1"	"882.4-d"	"2.0.111.1"	[28, -1, 1]	882	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 1], [-1122, 879], [-39075, -29246]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(879a-1122\\right){x}-29246a-39075"
"882.4-d2"	"882.4-d"	"2.0.111.1"	[28, -1, 1]	882	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [1, 1], [-42492, 3984], [1114707, 2747149]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(3984a-42492\\right){x}+2747149a+1114707"
"882.5-a1"	"882.5-a"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-3819, -867], [-38088, -35604]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-867a-3819\\right){x}-35604a-38088"
"882.5-a2"	"882.5-a"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-3024, -1122], [-116721, -23967]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-1122a-3024\\right){x}-23967a-116721"
"882.5-b1"	"882.5-b"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-39, 24], [-1220, 47]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(24a-39\\right){x}+47a-1220"
"882.5-b2"	"882.5-b"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [756, -231], [-19472, -325]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-231a+756\\right){x}-325a-19472"
"882.5-c1"	"882.5-c"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-19, -4], [58, -25]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-4a-19\\right){x}-25a+58"
"882.5-c2"	"882.5-c"	"2.0.111.1"	[28, -1, 1]	882	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [221, -4], [-278, -121]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-4a+221\\right){x}-121a-278"
"882.5-d1"	"882.5-d"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [476, -179], [11284, -61]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-179a+476\\right){x}-61a+11284"
"882.5-d2"	"882.5-d"	"2.0.111.1"	[28, -1, 1]	882	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [716, -179], [7732, -1021]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-179a+716\\right){x}-1021a+7732"
"882.6-a1"	"882.6-a"	"2.0.111.1"	[28, -1, 1]	882	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [1, 1], [101, -1], [-54, -30]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-a+101\\right){x}-30a-54"
"882.6-b1"	"882.6-b"	"2.0.111.1"	[28, -1, 1]	882	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [1, 1], [788, 50], [-6073, 1269]]	"{y}^2+a{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(50a+788\\right){x}+1269a-6073"
"896.10-a1"	"896.10-a"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [0, 0], [80, 4]]	"{y}^2={x}^3+a{x}^2+4a+80"
"896.10-b1"	"896.10-b"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [88, 0], [144, -100]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+88{x}-100a+144"
"896.10-c1"	"896.10-c"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-4, 3], [-4, 3]]	"{y}^2={x}^3+a{x}^2+\\left(3a-4\\right){x}+3a-4"
"896.10-d1"	"896.10-d"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [12, -11], [72, -242]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-11a+12\\right){x}-242a+72"
"896.13-a1"	"896.13-a"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [6149, 463], [110825, -40869]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(463a+6149\\right){x}-40869a+110825"
"896.13-b1"	"896.13-b"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-256, -1295], [-111473, 43319]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-1295a-256\\right){x}+43319a-111473"
"896.14-a1"	"896.14-a"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [1696, 544], [-95744, -352]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(544a+1696\\right){x}-352a-95744"
"896.14-b1"	"896.14-b"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-328, 92], [268, -1180]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(92a-328\\right){x}-1180a+268"
"896.15-a1"	"896.15-a"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [9, 3], [38, -3]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(3a+9\\right){x}-3a+38"
"896.15-b1"	"896.15-b"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [-8, 0], [7, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2-8{x}+7"
"896.2-a1"	"896.2-a"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [12, -3], [36, 2]]	"{y}^2+a{y}={x}^3+\\left(-3a+12\\right){x}+2a+36"
"896.2-b1"	"896.2-b"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [-8, 0], [8, -1]]	"{y}^2+a{y}={x}^3+a{x}^2-8{x}-a+8"
"896.3-a1"	"896.3-a"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [2267, -543], [-98335, 895]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-543a+2267\\right){x}+895a-98335"
"896.3-b1"	"896.3-b"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-236, -92], [-912, 1180]]	"{y}^2={x}^3-a{x}^2+\\left(-92a-236\\right){x}+1180a-912"
"896.4-a1"	"896.4-a"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [6639, -462], [63345, 41331]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-462a+6639\\right){x}+41331a+63345"
"896.4-b1"	"896.4-b"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-1549, 1281], [-104189, -43575]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(1281a-1549\\right){x}-43575a-104189"
"896.7-a1"	"896.7-a"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [88, 0], [44, 100]]	"{y}^2={x}^3+a{x}^2+88{x}+100a+44"
"896.7-b1"	"896.7-b"	"2.0.111.1"	[28, -1, 1]	896	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [0, 0], [84, -4]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2-4a+84"
"896.7-c1"	"896.7-c"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [1, 11], [-170, 242]]	"{y}^2={x}^3+a{x}^2+\\left(11a+1\\right){x}+242a-170"
"896.7-d1"	"896.7-d"	"2.0.111.1"	[28, -1, 1]	896	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-1, -3], [-1, -3]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-3a-1\\right){x}-3a-1"
"900.4-a1"	"900.4-a"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-3438, -666], [123172, 12396]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-666a-3438\\right){x}+12396a+123172"
"900.4-b1"	"900.4-b"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-1080, 2007], [263368, 56697]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(2007a-1080\\right){x}+56697a+263368"
"900.4-b2"	"900.4-b"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [3960, -378], [-247808, 33636]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-378a+3960\\right){x}+33636a-247808"
"900.4-c1"	"900.4-c"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [57, 9], [185, -21]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(9a+57\\right){x}-21a+185"
"900.4-c2"	"900.4-c"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [227, -31], [-984, -110]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-31a+227\\right){x}-110a-984"
"900.4-d1"	"900.4-d"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-3, 1], [-11, 2]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(a-3\\right){x}+2a-11"
"900.4-d2"	"900.4-d"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [72, 2], [-44, -21]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(2a+72\\right){x}-21a-44"
"900.4-e1"	"900.4-e"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-1584, 144], [-18368, 3264]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(144a-1584\\right){x}+3264a-18368"
"900.4-e2"	"900.4-e"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-3332, -447], [252987, -31860]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-447a-3332\\right){x}-31860a+252987"
"900.4-f1"	"900.4-f"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [5041, -309], [-126213, -11280]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(-309a+5041\\right){x}-11280a-126213"
"900.5-a1"	"900.5-a"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-69, 0], [-235, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-69{x}-235"
"900.5-a2"	"900.5-a"	"2.0.111.1"	[28, -1, 1]	900	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [6, 0], [0, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2+6{x}"
"900.5-a3"	"900.5-a"	"2.0.111.1"	[28, -1, 1]	900	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-24, 0], [18, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-24{x}+18"
"900.5-a4"	"900.5-a"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-1149, 0], [-14707, 0]]	"{y}^2+{x}{y}={x}^3-{x}^2-1149{x}-14707"
"900.5-b1"	"900.5-b"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-1788, -133], [-13730, 7093]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-133a-1788\\right){x}+7093a-13730"
"900.5-c1"	"900.5-c"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-2194908, -836156], [-343697124, 846925559]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-836156a-2194908\\right){x}+846925559a-343697124"
"900.5-d1"	"900.5-d"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [12, -41], [1716, -61]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-41a+12\\right){x}-61a+1716"
"900.5-d2"	"900.5-d"	"2.0.111.1"	[28, -1, 1]	900	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-3, 4], [-53, -4]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(4a-3\\right){x}-4a-53"
"900.5-e1"	"900.5-e"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-51, -3], [446, -27]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-3a-51\\right){x}-27a+446"
"900.5-e2"	"900.5-e"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-291, 73], [681, -856]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(73a-291\\right){x}-856a+681"
"900.5-e3"	"900.5-e"	"2.0.111.1"	[28, -1, 1]	900	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-303, -116], [-687, 1922]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-116a-303\\right){x}+1922a-687"
"900.5-e4"	"900.5-e"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [-5343, -2036], [-39999, 102194]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-2036a-5343\\right){x}+102194a-39999"
"900.5-f1"	"900.5-f"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-28, -41], [-332, 347]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-41a-28\\right){x}+347a-332"
"900.5-g1"	"900.5-g"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-1404, 21], [21222, -513]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(21a-1404\\right){x}-513a+21222"
"900.5-h1"	"900.5-h"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-41, 61], [-2343, 23]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(61a-41\\right){x}+23a-2343"
"900.5-i1"	"900.5-i"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-1921, 133], [-6637, -7093]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(133a-1921\\right){x}-7093a-6637"
"900.5-j1"	"900.5-j"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-1383, -21], [20709, 513]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-21a-1383\\right){x}+513a+20709"
"900.5-k1"	"900.5-k"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-69, 39], [15, -348]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(39a-69\\right){x}-348a+15"
"900.5-l1"	"900.5-l"	"2.0.111.1"	[28, -1, 1]	900	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [1, -5], [-57, 3]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a+1\\right){x}+3a-57"
"900.5-l2"	"900.5-l"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-29, 40], [1655, 60]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(40a-29\\right){x}+60a+1655"
"900.5-m1"	"900.5-m"	"2.0.111.1"	[28, -1, 1]	900	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-3031064, 836155], [503228435, -846925560]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(836155a-3031064\\right){x}-846925560a+503228435"
"900.5-n1"	"900.5-n"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-218, -74], [-175, 855]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-74a-218\\right){x}+855a-175"
"900.5-n2"	"900.5-n"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-52, 1], [420, 26]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a-52\\right){x}+26a+420"
"900.5-n3"	"900.5-n"	"2.0.111.1"	[28, -1, 1]	900	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-419, 115], [1235, -1923]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(115a-419\\right){x}-1923a+1235"
"900.5-n4"	"900.5-n"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-7379, 2035], [62195, -102195]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(2035a-7379\\right){x}-102195a+62195"
"900.5-o1"	"900.5-o"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [20, -61], [-2320, -23]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-61a+20\\right){x}-23a-2320"
"900.5-p1"	"900.5-p"	"2.0.111.1"	[28, -1, 1]	900	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-8, 0], [11, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-8{x}+11"
"900.5-p2"	"900.5-p"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [52, 0], [-53, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+52{x}-53"
"900.5-p3"	"900.5-p"	"2.0.111.1"	[28, -1, 1]	900	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-218, 0], [-269, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-218{x}-269"
"900.5-p4"	"900.5-p"	"2.0.111.1"	[28, -1, 1]	900	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-128, 0], [587, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-128{x}+587"
"900.6-a1"	"900.6-a"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [-4104, 666], [135568, -12396]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(666a-4104\\right){x}-12396a+135568"
"900.6-b1"	"900.6-b"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [927, -2007], [320065, -56697]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-2007a+927\\right){x}-56697a+320065"
"900.6-b2"	"900.6-b"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [3582, 378], [-214172, -33636]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(378a+3582\\right){x}-33636a-214172"
"900.6-c1"	"900.6-c"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 0], [66, -9], [164, 21]]	"{y}^2+{x}{y}={x}^3-{x}^2+\\left(-9a+66\\right){x}+21a+164"
"900.6-c2"	"900.6-c"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [197, 30], [-1093, 109]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(30a+197\\right){x}+109a-1093"
"900.6-d1"	"900.6-d"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-2, -2], [-9, -3]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2a-2\\right){x}-3a-9"
"900.6-d2"	"900.6-d"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [74, -4], [-65, 20]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-4a+74\\right){x}+20a-65"
"900.6-e1"	"900.6-e"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-1440, -144], [-15104, -3264]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-144a-1440\\right){x}-3264a-15104"
"900.6-e2"	"900.6-e"	"2.0.111.1"	[28, -1, 1]	900	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-3779, 447], [221127, 31860]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(447a-3779\\right){x}+31860a+221127"
"900.6-f1"	"900.6-f"	"2.0.111.1"	[28, -1, 1]	900	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [4732, 309], [-137493, 11280]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+\\left(309a+4732\\right){x}+11280a-137493"
"916.2-a1"	"916.2-a"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [84, -1], [-111, -37]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+84\\right){x}-37a-111"
"916.2-a2"	"916.2-a"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [229, -41], [1478, 187]]	"{y}^2+a{x}{y}={x}^3+\\left(-41a+229\\right){x}+187a+1478"
"916.2-b1"	"916.2-b"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [-9, 15], [134, 15]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(15a-9\\right){x}+15a+134"
"916.2-b2"	"916.2-b"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [96, 55], [-1728, -237]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(55a+96\\right){x}-237a-1728"
"916.5-a1"	"916.5-a"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [188, 41], [1665, -187]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(41a+188\\right){x}-187a+1665"
"916.5-a2"	"916.5-a"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [83, 1], [-148, 37]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+\\left(a+83\\right){x}+37a-148"
"916.5-b1"	"916.5-b"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [123, -54], [-1842, 182]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-54a+123\\right){x}+182a-1842"
"916.5-b2"	"916.5-b"	"2.0.111.1"	[28, -1, 1]	916	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-22, -14], [127, -30]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(-14a-22\\right){x}-30a+127"
"920.10-a1"	"920.10-a"	"2.0.111.1"	[28, -1, 1]	920	2	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-69, 8], [725, -364]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(8a-69\\right){x}-364a+725"
"920.10-b1"	"920.10-b"	"2.0.111.1"	[28, -1, 1]	920	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [2, -5], [-105, -7]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a+2\\right){x}-7a-105"
"920.14-a1"	"920.14-a"	"2.0.111.1"	[28, -1, 1]	920	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-12, 1], [14, 1]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(a-12\\right){x}+a+14"
"920.14-b1"	"920.14-b"	"2.0.111.1"	[28, -1, 1]	920	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [-27, 0], [-51, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3-27{x}-51"
"920.3-a1"	"920.3-a"	"2.0.111.1"	[28, -1, 1]	920	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-12, 1], [4, -2]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(a-12\\right){x}-2a+4"
"920.3-b1"	"920.3-b"	"2.0.111.1"	[28, -1, 1]	920	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [-27, 0], [-50, -1]]	"{y}^2+a{y}={x}^3-27{x}-a-50"
"920.7-a1"	"920.7-a"	"2.0.111.1"	[28, -1, 1]	920	2	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-36, -19], [760, 329]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(-19a-36\\right){x}+329a+760"
"920.7-b1"	"920.7-b"	"2.0.111.1"	[28, -1, 1]	920	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [24, -8], [-80, 17]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(-8a+24\\right){x}+17a-80"
"925.2-a1"	"925.2-a"	"2.0.111.1"	[28, -1, 1]	925	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [1, 0], [-156, 0], [700, 0]]	"{y}^2+{y}={x}^3+{x}^2-156{x}+700"
"925.2-b1"	"925.2-b"	"2.0.111.1"	[28, -1, 1]	925	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [13, 0], [236, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2+13{x}+236"
"925.2-b2"	"925.2-b"	"2.0.111.1"	[28, -1, 1]	925	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 0], [-32, 0], [74, 0]]	"{y}^2+{x}{y}+{y}={x}^3-{x}^2-32{x}+74"
"925.2-c1"	"925.2-c"	"2.0.111.1"	[28, -1, 1]	925	2	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-48, 0], [-122, 0]]	"{y}^2+{y}={x}^3-48{x}-122"
"925.2-d1"	"925.2-d"	"2.0.111.1"	[28, -1, 1]	925	2	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 0], [-5, 0], [6, 0]]	"{y}^2+{y}={x}^3-{x}^2-5{x}+6"
"925.2-e1"	"925.2-e"	"2.0.111.1"	[28, -1, 1]	925	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [1, 0], [-9, 0]]	"{y}^2+{x}{y}+{y}={x}^3+{x}-9"
"925.2-e2"	"925.2-e"	"2.0.111.1"	[28, -1, 1]	925	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 0], [-4, 0], [-3, 0]]	"{y}^2+{x}{y}+{y}={x}^3-4{x}-3"
"925.2-f1"	"925.2-f"	"2.0.111.1"	[28, -1, 1]	925	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 0], [-1407, 0], [-20313, 0]]	"{y}^2+{y}={x}^3-1407{x}-20313"
"952.8-a1"	"952.8-a"	"2.0.111.1"	[28, -1, 1]	952	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [613, 229], [-18834, -314]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(229a+613\\right){x}-314a-18834"
"952.8-a2"	"952.8-a"	"2.0.111.1"	[28, -1, 1]	952	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [73, -36], [-802, 176]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-36a+73\\right){x}+176a-802"
"952.8-b1"	"952.8-b"	"2.0.111.1"	[28, -1, 1]	952	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-1388, 10], [20728, 60]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(10a-1388\\right){x}+60a+20728"
"952.8-b2"	"952.8-b"	"2.0.111.1"	[28, -1, 1]	952	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [152, 25], [540, -199]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(25a+152\\right){x}-199a+540"
"952.9-a1"	"952.9-a"	"2.0.111.1"	[28, -1, 1]	952	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [842, -231], [-19148, 313]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-231a+842\\right){x}+313a-19148"
"952.9-a2"	"952.9-a"	"2.0.111.1"	[28, -1, 1]	952	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [37, 34], [-626, -177]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(34a+37\\right){x}-177a-626"
"952.9-b1"	"952.9-b"	"2.0.111.1"	[28, -1, 1]	952	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-1379, -10], [19409, -70]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-10a-1379\\right){x}-70a+19409"
"952.9-b2"	"952.9-b"	"2.0.111.1"	[28, -1, 1]	952	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [176, -25], [517, 174]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-25a+176\\right){x}+174a+517"
"960.1-a1"	"960.1-a"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [-89, 1], [271, 11]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(a-89\\right){x}+11a+271"
"960.1-b1"	"960.1-b"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 1], [3, 3], [-5, -1]]	"{y}^2+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(3a+3\\right){x}-a-5"
"960.1-c1"	"960.1-c"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [0, 1], [108, 30], [1224, -61]]	"{y}^2+a{y}={x}^3+\\left(30a+108\\right){x}-61a+1224"
"960.1-d1"	"960.1-d"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 1], [-225, 88], [-1271, -809]]	"{y}^2+a{y}={x}^3-{x}^2+\\left(88a-225\\right){x}-809a-1271"
"960.10-a1"	"960.10-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-10684, 4924], [402760, 309400]]	"{y}^2={x}^3-{x}^2+\\left(4924a-10684\\right){x}+309400a+402760"
"960.10-a2"	"960.10-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [-212, 91], [4557, -1134]]	"{y}^2={x}^3+a{x}^2+\\left(91a-212\\right){x}-1134a+4557"
"960.10-b1"	"960.10-b"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [27192, -991], [-339156, -323646]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-991a+27192\\right){x}-323646a-339156"
"960.10-b2"	"960.10-b"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-3153, 85], [75774, 15914]]	"{y}^2={x}^3-{x}^2+\\left(85a-3153\\right){x}+15914a+75774"
"960.11-a1"	"960.11-a"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [-216, 21], [-590, 24]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(21a-216\\right){x}+24a-590"
"960.11-b1"	"960.11-b"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [0, 0], [9, 6], [-279, 90]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(6a+9\\right){x}+90a-279"
"960.11-b2"	"960.11-b"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [1, 1], [63, -15], [162, 33]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-15a+63\\right){x}+33a+162"
"960.11-c1"	"960.11-c"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [0, 0], [-5, 5], [-39, -29]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+{x}^2+\\left(5a-5\\right){x}-29a-39"
"960.11-d1"	"960.11-d"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-7, 3], [18, -2]]	"{y}^2={x}^3-a{x}^2+\\left(3a-7\\right){x}-2a+18"
"960.11-e1"	"960.11-e"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [-40, -4], [96, -24]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-4a-40\\right){x}-24a+96"
"960.11-f1"	"960.11-f"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [92, -6], [-335, 74]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-6a+92\\right){x}+74a-335"
"960.11-g1"	"960.11-g"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 0], [0, 0], [-87, 66], [-39, 258]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(66a-87\\right){x}+258a-39"
"960.11-h1"	"960.11-h"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-19, 2], [-18, 3]]	"{y}^2={x}^3-a{x}^2+\\left(2a-19\\right){x}+3a-18"
"960.11-h2"	"960.11-h"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [0, 0], [19, 0], [-29, 1]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-a{x}^2+19{x}+a-29"
"960.12-a1"	"960.12-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [80, 2], [60, -60]]	"{y}^2={x}^3-{x}^2+\\left(2a+80\\right){x}-60a+60"
"960.12-a2"	"960.12-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [20, 47], [-1488, -243]]	"{y}^2={x}^3-{x}^2+\\left(47a+20\\right){x}-243a-1488"
"960.12-a3"	"960.12-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [518, -115], [-9480, 147]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-115a+518\\right){x}+147a-9480"
"960.12-a4"	"960.12-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [1320, 32], [4892, -3556]]	"{y}^2={x}^3-{x}^2+\\left(32a+1320\\right){x}-3556a+4892"
"960.12-b1"	"960.12-b"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-164, 174], [-8774, -2111]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(174a-164\\right){x}-2111a-8774"
"960.12-c1"	"960.12-c"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-148, 11], [704, -79]]	"{y}^2={x}^3-{x}^2+\\left(11a-148\\right){x}-79a+704"
"960.12-d1"	"960.12-d"	"2.0.111.1"	[28, -1, 1]	960	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [310, -87], [-4276, 242]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-87a+310\\right){x}+242a-4276"
"960.12-d2"	"960.12-d"	"2.0.111.1"	[28, -1, 1]	960	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [1450, 78], [-23452, 5756]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(78a+1450\\right){x}+5756a-23452"
"960.12-d3"	"960.12-d"	"2.0.111.1"	[28, -1, 1]	960	0	[4]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [230, 128], [10107, -12]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(128a+230\\right){x}-12a+10107"
"960.12-d4"	"960.12-d"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [0, 0], [5310, -1337], [-283276, -8]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+a{x}^2+\\left(-1337a+5310\\right){x}-8a-283276"
"960.13-a1"	"960.13-a"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [156, 127], [-8212, -533]]	"{y}^2={x}^3+a{x}^2+\\left(127a+156\\right){x}-533a-8212"
"960.13-b1"	"960.13-b"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [1, 1], [4307, 109], [-49684, 21167]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(109a+4307\\right){x}+21167a-49684"
"960.14-a1"	"960.14-a"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [-88, -1], [282, -12]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-a-88\\right){x}-12a+282"
"960.14-b1"	"960.14-b"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [1, 1], [6, -3], [-6, 0]]	"{y}^2+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-3a+6\\right){x}-6"
"960.14-c1"	"960.14-c"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 0], [1, 1], [138, -30], [1163, 60]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-30a+138\\right){x}+60a+1163"
"960.14-d1"	"960.14-d"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [1, 1], [-137, -88], [-2080, 808]]	"{y}^2+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-88a-137\\right){x}+808a-2080"
"960.2-a1"	"960.2-a"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 1], [4416, -109], [-28516, -21168]]	"{y}^2+a{y}={x}^3+a{x}^2+\\left(-109a+4416\\right){x}-21168a-28516"
"960.2-b1"	"960.2-b"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [283, -127], [-8745, 533]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-127a+283\\right){x}+533a-8745"
"960.3-a1"	"960.3-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [82, -2], [0, 60]]	"{y}^2={x}^3-{x}^2+\\left(-2a+82\\right){x}+60a"
"960.3-a2"	"960.3-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [67, -47], [-1731, 243]]	"{y}^2={x}^3-{x}^2+\\left(-47a+67\\right){x}+243a-1731"
"960.3-a3"	"960.3-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [432, 100], [-12760, 270]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(100a+432\\right){x}+270a-12760"
"960.3-a4"	"960.3-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [1352, -32], [1336, 3556]]	"{y}^2={x}^3-{x}^2+\\left(-32a+1352\\right){x}+3556a+1336"
"960.3-b1"	"960.3-b"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [39, -189], [-5827, 2135]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-189a+39\\right){x}+2135a-5827"
"960.3-c1"	"960.3-c"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-137, -11], [625, 79]]	"{y}^2={x}^3-{x}^2+\\left(-11a-137\\right){x}+79a+625"
"960.3-d1"	"960.3-d"	"2.0.111.1"	[28, -1, 1]	960	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [250, 74], [-6552, 8]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(74a+250\\right){x}+8a-6552"
"960.3-d2"	"960.3-d"	"2.0.111.1"	[28, -1, 1]	960	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [1555, -91], [-16899, -4201]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-91a+1555\\right){x}-4201a-16899"
"960.3-d3"	"960.3-d"	"2.0.111.1"	[28, -1, 1]	960	0	[4]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [360, -130], [10096, 11]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-130a+360\\right){x}+11a+10096"
"960.3-d4"	"960.3-d"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [4000, 1324], [-324552, 4008]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(1324a+4000\\right){x}+4008a-324552"
"960.4-a1"	"960.4-a"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [-193, -23], [-565, -25]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-23a-193\\right){x}-25a-565"
"960.4-b1"	"960.4-b"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 1], [43, -19], [175, -67]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-19a+43\\right){x}-67a+175"
"960.4-b2"	"960.4-b"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 1], [50, 13], [196, -34]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(13a+50\\right){x}-34a+196"
"960.4-c1"	"960.4-c"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 1], [27, -4], [-67, 33]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-4a+27\\right){x}+33a-67"
"960.4-d1"	"960.4-d"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-4, -3], [16, 2]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-3a-4\\right){x}+2a+16"
"960.4-e1"	"960.4-e"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 0], [-17, -9], [145, 7]]	"{y}^2+a{x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-9a-17\\right){x}+7a+145"
"960.4-f1"	"960.4-f"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [88, -8], [-204, 18]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-8a+88\\right){x}+18a-204"
"960.4-g1"	"960.4-g"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 1], [1, -1], [0, 0], [-21, -66], [219, -258]]	"{y}^2+a{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-66a-21\\right){x}-258a+219"
"960.4-h1"	"960.4-h"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-17, -2], [-15, -3]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(-2a-17\\right){x}-3a-15"
"960.4-h2"	"960.4-h"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 0], [19, 0], [-28, -1]]	"{y}^2+a{x}{y}={x}^3+19{x}-a-28"
"960.5-a1"	"960.5-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-5760, -4924], [712160, -309400]]	"{y}^2={x}^3-{x}^2+\\left(-4924a-5760\\right){x}-309400a+712160"
"960.5-a2"	"960.5-a"	"2.0.111.1"	[28, -1, 1]	960	1	[2]	0	"1.2.A.1.1a"	[[0, 0], [1, -1], [0, 0], [-121, -91], [3423, 1134]]	"{y}^2={x}^3+\\left(-a+1\\right){x}^2+\\left(-91a-121\\right){x}+1134a+3423"
"960.5-b1"	"960.5-b"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [0, 1], [0, 0], [26201, 991], [-662802, 323646]]	"{y}^2={x}^3+a{x}^2+\\left(991a+26201\\right){x}+323646a-662802"
"960.5-b2"	"960.5-b"	"2.0.111.1"	[28, -1, 1]	960	0	[2]	0	"1.2.A.1.1a"	[[0, 0], [-1, 0], [0, 0], [-3068, -85], [91688, -15914]]	"{y}^2={x}^3-{x}^2+\\left(-85a-3068\\right){x}-15914a+91688"
"960.7-a1"	"960.7-a"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, 1], [0, 0], [-161, 14], [1637, 57]]	"{y}^2={x}^3+\\left(a-1\\right){x}^2+\\left(14a-161\\right){x}+57a+1637"
"960.7-b1"	"960.7-b"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [19, -31], [-1737, -107]]	"{y}^2={x}^3+{x}^2+\\left(-31a+19\\right){x}-107a-1737"
"960.8-a1"	"960.8-a"	"2.0.111.1"	[28, -1, 1]	960	1	[]	0	"1.2.A.1.1a"	[[0, 0], [0, -1], [0, 0], [-147, -14], [1694, -57]]	"{y}^2={x}^3-a{x}^2+\\left(-14a-147\\right){x}-57a+1694"
"960.8-b1"	"960.8-b"	"2.0.111.1"	[28, -1, 1]	960	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [-12, 31], [-1844, 107]]	"{y}^2={x}^3+{x}^2+\\left(31a-12\\right){x}+107a-1844"
"961.1-a1"	"961.1-a"	"2.0.111.1"	[28, -1, 1]	961	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [6, 7], [-50, 1]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(7a+6\\right){x}+a-50"
"961.1-b1"	"961.1-b"	"2.0.111.1"	[28, -1, 1]	961	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [12, -5], [-61, 5]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-5a+12\\right){x}+5a-61"
"966.3-a1"	"966.3-a"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 0], [0, 0], [12, -3], [24, 6]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3-{x}^2+\\left(-3a+12\\right){x}+6a+24"
"966.3-b1"	"966.3-b"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [0, 1], [-36, -1], [-424, 86]]	"{y}^2+{x}{y}+a{y}={x}^3-a{x}^2+\\left(-a-36\\right){x}+86a-424"
"966.4-a1"	"966.4-a"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [0, 1], [40, -1], [-974, 125]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-a+40\\right){x}+125a-974"
"966.4-b1"	"966.4-b"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-21, -8], [981, -107]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+\\left(-8a-21\\right){x}-107a+981"
"966.5-a1"	"966.5-a"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 0], [1, 0], [-29, 8], [874, 107]]	"{y}^2+{x}{y}+{y}={x}^3+{x}^2+\\left(8a-29\\right){x}+107a+874"
"966.5-b1"	"966.5-b"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, -1], [1, 1], [39, 0], [-849, -126]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+39{x}-126a-849"
"966.6-a1"	"966.6-a"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 1], [1, 1], [-37, 0], [-338, -87]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2-37{x}-87a-338"
"966.6-b1"	"966.6-b"	"2.0.111.1"	[28, -1, 1]	966	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, -1], [0, 0], [9, 3], [30, -6]]	"{y}^2+a{x}{y}={x}^3-a{x}^2+\\left(3a+9\\right){x}-6a+30"
"980.10-a1"	"980.10-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [3020, -50], [352528, 3608]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-50a+3020\\right){x}+3608a+352528"
"980.10-a2"	"980.10-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [5225, -715], [-118775, -21229]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-715a+5225\\right){x}-21229a-118775"
"980.10-a3"	"980.10-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 0], [-1211, 66], [-12838, 679]]	"{y}^2+a{x}{y}={x}^3+a{x}^2+\\left(66a-1211\\right){x}+679a-12838"
"980.10-a4"	"980.10-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-46295, 1860], [3765637, -213655]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(1860a-46295\\right){x}-213655a+3765637"
"980.10-b1"	"980.10-b"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [2474, 12], [-9820, 7988]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(12a+2474\\right){x}+7988a-9820"
"980.10-b2"	"980.10-b"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-3007, 661], [-8511, 21383]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(661a-3007\\right){x}+21383a-8511"
"980.10-b3"	"980.10-b"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-240, 40], [48, 156]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(40a-240\\right){x}+156a+48"
"980.10-b4"	"980.10-b"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 0], [-3917, 1026], [-22035, 37588]]	"{y}^2+{x}{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(1026a-3917\\right){x}+37588a-22035"
"980.10-c1"	"980.10-c"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [824, 400], [-47664, -848]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(400a+824\\right){x}-848a-47664"
"980.10-d1"	"980.10-d"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [253, -67], [2251, 184]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-67a+253\\right){x}+184a+2251"
"980.10-d2"	"980.10-d"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-1408, -762], [1945, -19933]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-762a-1408\\right){x}-19933a+1945"
"980.10-d3"	"980.10-d"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [-1744, -148], [-19839, -1487]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-148a-1744\\right){x}-1487a-19839"
"980.10-d4"	"980.10-d"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 0], [6327, 73], [40011, -38201]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(73a+6327\\right){x}-38201a+40011"
"980.10-e1"	"980.10-e"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [14762, 33], [-40601, 128571]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(33a+14762\\right){x}+128571a-40601"
"980.10-f1"	"980.10-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-1485, 523], [-349273, -1699]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(523a-1485\\right){x}-1699a-349273"
"980.10-f2"	"980.10-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 1], [0, 1], [861, 76], [5054, -1185]]	"{y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\\left(76a+861\\right){x}-1185a+5054"
"980.10-f3"	"980.10-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-1905, 1448], [121435, 40752]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(1448a-1905\\right){x}+40752a+121435"
"980.10-f4"	"980.10-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [27005, 6663], [-3722251, 196055]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(6663a+27005\\right){x}+196055a-3722251"
"980.11-a1"	"980.11-a"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [-849, 576], [-32355, -11791]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(576a-849\\right){x}-11791a-32355"
"980.11-a2"	"980.11-a"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 1], [656, 6], [1014, -1480]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(6a+656\\right){x}-1480a+1014"
"980.11-b1"	"980.11-b"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [2603, -679], [-104888, -1296]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-679a+2603\\right){x}-1296a-104888"
"980.11-b2"	"980.11-b"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [2708, -649], [-121232, 1509]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-649a+2708\\right){x}+1509a-121232"
"980.11-b3"	"980.11-b"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [3, -4], [-324, -13]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-4a+3\\right){x}-13a-324"
"980.11-b4"	"980.11-b"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [1, 1], [-32, 31], [8930, 337]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(31a-32\\right){x}+337a+8930"
"980.11-b5"	"980.11-b"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-672, -34], [-5044, -320]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-34a-672\\right){x}-320a-5044"
"980.11-b6"	"980.11-b"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, -1], [0, 0], [-6552, 36], [220356, -418]]	"{y}^2+a{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(36a-6552\\right){x}-418a+220356"
"980.11-c1"	"980.11-c"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [24831, 13999], [-8360895, -304393]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(13999a+24831\\right){x}-304393a-8360895"
"980.11-c2"	"980.11-c"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [331, 174], [-9531, -740]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(174a+331\\right){x}-740a-9531"
"980.11-c3"	"980.11-c"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [14296, 2309], [964932, -115351]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2309a+14296\\right){x}-115351a+964932"
"980.11-d1"	"980.11-d"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [334663, 171487], [-373189775, -9778561]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(171487a+334663\\right){x}-9778561a-373189775"
"980.11-d2"	"980.11-d"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [3178, 2192], [-517580, 1104]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2192a+3178\\right){x}+1104a-517580"
"980.11-d3"	"980.11-d"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [-607, -203], [4805, -2301]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-203a-607\\right){x}-2301a+4805"
"980.11-e1"	"980.11-e"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [23431, -6107], [2832165, 34971]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-6107a+23431\\right){x}+34971a+2832165"
"980.11-e2"	"980.11-e"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-10525, -4329], [-16151, 328501]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-4329a-10525\\right){x}+328501a-16151"
"980.11-e3"	"980.11-e"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [31, -32], [8937, 330]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-32a+31\\right){x}+330a+8937"
"980.11-e4"	"980.11-e"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [-284, 283], [-240921, -9120]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(283a-284\\right){x}-9120a-240921"
"980.11-e5"	"980.11-e"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-3425, 646], [-42671, 22031]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(646a-3425\\right){x}+22031a-42671"
"980.11-e6"	"980.11-e"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [1, 0], [-20820, 7051], [-88045, -589783]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(7051a-20820\\right){x}-589783a-88045"
"980.11-f1"	"980.11-f"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [158989, 765], [-3687501, 4738756]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(765a+158989\\right){x}+4738756a-3687501"
"980.11-f2"	"980.11-f"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [1944, 30], [-4465, 7512]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(30a+1944\\right){x}+7512a-4465"
"980.11-f3"	"980.11-f"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-201, -5], [-371, -174]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-5a-201\\right){x}-174a-371"
"980.11-g1"	"980.11-g"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [223561, 125983], [229048239, 7743105]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(125983a+223561\\right){x}+7743105a+229048239"
"980.11-g2"	"980.11-g"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [3061, 1558], [298011, 13824]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(1558a+3061\\right){x}+13824a+298011"
"980.11-g3"	"980.11-g"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [128746, 20773], [-25600155, 2944206]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(20773a+128746\\right){x}+2944206a-25600155"
"980.11-h1"	"980.11-h"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [3018, -184], [35836, 12008]]	"{y}^2+{x}{y}={x}^3+\\left(-184a+3018\\right){x}+12008a+35836"
"980.11-h2"	"980.11-h"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-237, -114], [-1369, 1242]]	"{y}^2+{x}{y}={x}^3+\\left(-114a-237\\right){x}+1242a-1369"
"980.12-a1"	"980.12-a"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [17796, 2912], [-1323838, 144436]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(2912a+17796\\right){x}+144436a-1323838"
"980.12-a2"	"980.12-a"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-32359, 4312], [1768610, -450391]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(4312a-32359\\right){x}-450391a+1768610"
"980.12-b1"	"980.12-b"	"2.0.111.1"	[28, -1, 1]	980	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-3136, 576], [19758, -24098]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(576a-3136\\right){x}-24098a+19758"
"980.12-b2"	"980.12-b"	"2.0.111.1"	[28, -1, 1]	980	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [32, 288], [-17908, -3324]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(288a+32\\right){x}-3324a-17908"
"980.12-c1"	"980.12-c"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-23612, 1813], [1256940, -152593]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(1813a-23612\\right){x}-152593a+1256940"
"980.12-c2"	"980.12-c"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [32918, 2963], [-1912416, 442625]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(2963a+32918\\right){x}+442625a-1912416"
"980.12-d1"	"980.12-d"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-584, -38], [9308, 349]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-38a-584\\right){x}+349a+9308"
"980.12-d2"	"980.12-d"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [8635, 639], [-218779, 61474]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(639a+8635\\right){x}+61474a-218779"
"980.16-a1"	"980.16-a"	"2.0.111.1"	[28, -1, 1]	980	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [104865, -20996], [-20227915, -1117146]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-20996a+104865\\right){x}-1117146a-20227915"
"980.16-a2"	"980.16-a"	"2.0.111.1"	[28, -1, 1]	980	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [1419, 13], [7832, -33237]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(13a+1419\\right){x}-33237a+7832"
"980.16-b1"	"980.16-b"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [-7107, -4061], [-408080, 260147]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-4061a-7107\\right){x}+260147a-408080"
"980.16-b2"	"980.16-b"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[0, 0], [-1, -1], [1, 1], [2847, 1558], [2697813, 21670]]	"{y}^2+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(1558a+2847\\right){x}+21670a+2697813"
"980.3-a1"	"980.3-a"	"2.0.111.1"	[28, -1, 1]	980	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [83868, 20998], [-21261192, 1138142]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(20998a+83868\\right){x}+1138142a-21261192"
"980.3-a2"	"980.3-a"	"2.0.111.1"	[28, -1, 1]	980	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [1431, -11], [-23973, 33224]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-11a+1431\\right){x}+33224a-23973"
"980.3-b1"	"980.3-b"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [-11169, 4063], [-159101, -256086]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(4063a-11169\\right){x}-256086a-159101"
"980.3-b2"	"980.3-b"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 1], [0, 1], [4404, -1556], [2723888, -23228]]	"{y}^2+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-1556a+4404\\right){x}-23228a+2723888"
"980.7-a1"	"980.7-a"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [20709, -2913], [-1179401, -144437]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2913a+20709\\right){x}-144437a-1179401"
"980.7-a2"	"980.7-a"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-28046, -4313], [1318220, 450390]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-4313a-28046\\right){x}+450390a+1318220"
"980.7-b1"	"980.7-b"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [0, 1], [-2559, -577], [-4339, 24097]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-577a-2559\\right){x}+24097a-4339"
"980.7-b2"	"980.7-b"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [320, -288], [-21232, 3324]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-288a+320\\right){x}+3324a-21232"
"980.7-c1"	"980.7-c"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [-21799, -1814], [1104347, 152592]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-1814a-21799\\right){x}+152592a+1104347"
"980.7-c2"	"980.7-c"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [35881, -2964], [-1469791, -442626]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-2964a+35881\\right){x}-442626a-1469791"
"980.7-d1"	"980.7-d"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-622, 36], [9657, -350]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(36a-622\\right){x}-350a+9657"
"980.7-d2"	"980.7-d"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, -1], [1, 1], [9274, -640], [-157305, -61475]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-640a+9274\\right){x}-61475a-157305"
"980.8-a1"	"980.8-a"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [-273, -575], [-44419, 11215]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-575a-273\\right){x}+11215a-44419"
"980.8-a2"	"980.8-a"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 1], [662, -5], [196, 1474]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-5a+662\\right){x}+1474a+196"
"980.8-b1"	"980.8-b"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [17325, 6106], [2867137, -34972]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(6106a+17325\\right){x}-34972a+2867137"
"980.8-b2"	"980.8-b"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-14854, 4331], [297496, -324171]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(4331a-14854\\right){x}-324171a+297496"
"980.8-b3"	"980.8-b"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [0, -284], [-250040, 9119]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2-284a{x}+9119a-250040"
"980.8-b4"	"980.8-b"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [0, 31], [9268, -331]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+31a{x}-331a+9268"
"980.8-b5"	"980.8-b"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-13769, -7049], [-691597, 582733]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-7049a-13769\\right){x}+582733a-691597"
"980.8-b6"	"980.8-b"	"2.0.111.1"	[28, -1, 1]	980	1	[6]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [0, 0], [-2779, -644], [-23419, -22676]]	"{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-644a-2779\\right){x}-22676a-23419"
"980.8-c1"	"980.8-c"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [1976, -44], [4112, -5568]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-44a+1976\\right){x}-5568a+4112"
"980.8-c2"	"980.8-c"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-204, -9], [-460, -27]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-9a-204\\right){x}-27a-460"
"980.8-c3"	"980.8-c"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [159756, -779], [1072900, -4579767]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-779a+159756\\right){x}-4579767a+1072900"
"980.8-d1"	"980.8-d"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [349545, -125984], [236791345, -7743106]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-125984a+349545\\right){x}-7743106a+236791345"
"980.8-d2"	"980.8-d"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [149520, -20774], [-22655948, -2944207]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-20774a+149520\\right){x}-2944207a-22655948"
"980.8-d3"	"980.8-d"	"2.0.111.1"	[28, -1, 1]	980	1	[3]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [4620, -1559], [311836, -13825]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-1559a+4620\\right){x}-13825a+311836"
"980.8-e1"	"980.8-e"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [1925, 678], [-106183, 1295]]	"{y}^2+{x}{y}+a{y}={x}^3+\\left(678a+1925\\right){x}+1295a-106183"
"980.8-e2"	"980.8-e"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [2058, 649], [-117665, -860]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(649a+2058\\right){x}-860a-117665"
"980.8-e3"	"980.8-e"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [0, -32], [9268, -338]]	"{y}^2+{x}{y}+a{y}={x}^3-32a{x}-338a+9268"
"980.8-e4"	"980.8-e"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 1], [0, 3], [-336, 12]]	"{y}^2+{x}{y}+a{y}={x}^3+3a{x}+12a-336"
"980.8-e5"	"980.8-e"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-6517, -36], [213421, 382]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(-36a-6517\\right){x}+382a+213421"
"980.8-e6"	"980.8-e"	"2.0.111.1"	[28, -1, 1]	980	0	[6]	0	"1.2.A.1.1a"	[[1, 1], [1, 0], [1, 1], [-707, 34], [-6071, 354]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+{x}^2+\\left(34a-707\\right){x}+354a-6071"
"980.8-f1"	"980.8-f"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [38829, -13997], [-8626459, 290395]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-13997a+38829\\right){x}+290395a-8626459"
"980.8-f2"	"980.8-f"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [16604, -2307], [866185, 113043]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-2307a+16604\\right){x}+113043a+866185"
"980.8-f3"	"980.8-f"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [504, -172], [-9767, 567]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-172a+504\\right){x}+567a-9767"
"980.8-g1"	"980.8-g"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [5369, -2190], [-511107, -3295]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-2190a+5369\\right){x}-3295a-511107"
"980.8-g2"	"980.8-g"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [-811, 205], [1693, 2505]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(205a-811\\right){x}+2505a+1693"
"980.8-g3"	"980.8-g"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [1, 1], [1, 0], [506149, -171485], [-382462187, 9607075]]	"{y}^2+{x}{y}+{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-171485a+506149\\right){x}+9607075a-382462187"
"980.8-h1"	"980.8-h"	"2.0.111.1"	[28, -1, 1]	980	0	[3]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [2834, 184], [47844, -12008]]	"{y}^2+{x}{y}={x}^3+\\left(184a+2834\\right){x}-12008a+47844"
"980.8-h2"	"980.8-h"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [-351, 114], [-127, -1242]]	"{y}^2+{x}{y}={x}^3+\\left(114a-351\\right){x}-1242a-127"
"980.9-a1"	"980.9-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [2970, 49], [356136, -3609]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(49a+2970\\right){x}-3609a+356136"
"980.9-a2"	"980.9-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [4510, 714], [-140004, 21228]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(714a+4510\\right){x}+21228a-140004"
"980.9-a3"	"980.9-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [0, 0], [-1159, -77], [-10143, -1889]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-77a-1159\\right){x}-1889a-10143"
"980.9-a4"	"980.9-a"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 1], [-44435, -1861], [3551982, 213654]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-1861a-44435\\right){x}+213654a+3551982"
"980.9-b1"	"980.9-b"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-2170, 762], [-17988, 19933]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(762a-2170\\right){x}+19933a-17988"
"980.9-b2"	"980.9-b"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [-1892, 148], [-21326, 1487]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(148a-1892\\right){x}+1487a-21326"
"980.9-b3"	"980.9-b"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [188, 65], [2436, -185]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(65a+188\\right){x}-185a+2436"
"980.9-b4"	"980.9-b"	"2.0.111.1"	[28, -1, 1]	980	2	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [1, 0], [6400, -73], [1810, 38201]]	"{y}^2+{x}{y}+{y}={x}^3+a{x}^2+\\left(-73a+6400\\right){x}+38201a+1810"
"980.9-c1"	"980.9-c"	"2.0.111.1"	[28, -1, 1]	980	0	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, -1], [0, 0], [14794, -31], [73176, -128539]]	"{y}^2+{x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-31a+14794\\right){x}-128539a+73176"
"980.9-d1"	"980.9-d"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-2346, -661], [12872, -21383]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-661a-2346\\right){x}-21383a+12872"
"980.9-d2"	"980.9-d"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-200, -40], [204, -156]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(-40a-200\\right){x}-156a+204"
"980.9-d3"	"980.9-d"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [2486, -12], [-1832, -7988]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-12a+2486\\right){x}-7988a-1832"
"980.9-d4"	"980.9-d"	"2.0.111.1"	[28, -1, 1]	980	1	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 0], [-2891, -1026], [15553, -37588]]	"{y}^2+{x}{y}={x}^3+a{x}^2+\\left(-1026a-2891\\right){x}-37588a+15553"
"980.9-e1"	"980.9-e"	"2.0.111.1"	[28, -1, 1]	980	1	[]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [1236, -414], [-38381, 2084]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(-414a+1236\\right){x}+2084a-38381"
"980.9-f1"	"980.9-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-961, -524], [-350971, 1698]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-524a-961\\right){x}+1698a-350971"
"980.9-f2"	"980.9-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, 1], [1, 1], [923, -89], [6179, 2032]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-89a+923\\right){x}+2032a+6179"
"980.9-f3"	"980.9-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [-456, -1449], [162188, -40753]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-1449a-456\\right){x}-40753a+162188"
"980.9-f4"	"980.9-f"	"2.0.111.1"	[28, -1, 1]	980	0	[2]	0	"1.2.A.1.1a"	[[1, 0], [0, 1], [0, 1], [33669, -6664], [-3526195, -196056]]	"{y}^2+{x}{y}+a{y}={x}^3+a{x}^2+\\left(-6664a+33669\\right){x}-196056a-3526195"
"986.4-a1"	"986.4-a"	"2.0.111.1"	[28, -1, 1]	986	0	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [689, 11], [-5318, 785]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(11a+689\\right){x}+785a-5318"
"986.4-b1"	"986.4-b"	"2.0.111.1"	[28, -1, 1]	986	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [2560, -672], [62788, 8781]]	"{y}^2+{x}{y}={x}^3+\\left(-672a+2560\\right){x}+8781a+62788"
"986.5-a1"	"986.5-a"	"2.0.111.1"	[28, -1, 1]	986	1	[]	0	"1.2.A.1.1a"	[[1, 0], [0, 0], [0, 0], [1888, 672], [71569, -8781]]	"{y}^2+{x}{y}={x}^3+\\left(672a+1888\\right){x}-8781a+71569"
"986.5-b1"	"986.5-b"	"2.0.111.1"	[28, -1, 1]	986	0	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [700, -13], [-4533, -786]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-13a+700\\right){x}-786a-4533"
"999.1-a1"	"999.1-a"	"2.0.111.1"	[28, -1, 1]	999	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [241, 40], [-2206, 222]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(40a+241\\right){x}+222a-2206"
"999.1-b1"	"999.1-b"	"2.0.111.1"	[28, -1, 1]	999	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [1, 1], [31, -5], [70, 9]]	"{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^3-{x}^2+\\left(-5a+31\\right){x}+9a+70"
"999.1-c1"	"999.1-c"	"2.0.111.1"	[28, -1, 1]	999	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [27, 4], [80, -10]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(4a+27\\right){x}-10a+80"
"999.1-d1"	"999.1-d"	"2.0.111.1"	[28, -1, 1]	999	1	[]	0	"1.2.A.1.1a"	[[1, 0], [-1, 0], [0, 1], [282, -41], [-1983, -223]]	"{y}^2+{x}{y}+a{y}={x}^3-{x}^2+\\left(-41a+282\\right){x}-223a-1983"
"1000.10-a1"	"1000.10-a"	"2.0.111.1"	[28, -1, 1]	1000	1	[]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [199, -8], [-186, 151]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-8a+199\\right){x}+151a-186"
"1000.10-b1"	"1000.10-b"	"2.0.111.1"	[28, -1, 1]	1000	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [16, 4], [-48, 4]]	"{y}^2={x}^3+{x}^2+\\left(4a+16\\right){x}+4a-48"
"1000.14-a1"	"1000.14-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [-370, 12], [-2264, 355]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(12a-370\\right){x}+355a-2264"
"1000.14-a2"	"1000.14-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, 1], [1, 1], [1695, 227], [-46378, 3901]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(a-1\\right){x}^2+\\left(227a+1695\\right){x}+3901a-46378"
"1000.14-b1"	"1000.14-b"	"2.0.111.1"	[28, -1, 1]	1000	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-647, 8], [8664, -96]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(8a-647\\right){x}-96a+8664"
"1000.14-b2"	"1000.14-b"	"2.0.111.1"	[28, -1, 1]	1000	1	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [1, 1], [-12, -7], [198, -22]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-7a-12\\right){x}-22a+198"
"1000.14-c1"	"1000.14-c"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [277, 50], [2597, -736]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(50a+277\\right){x}-736a+2597"
"1000.14-c2"	"1000.14-c"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, -1], [1, 1], [462, -415], [36745, -2208]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3-a{x}^2+\\left(-415a+462\\right){x}-2208a+36745"
"1000.14-d1"	"1000.14-d"	"2.0.111.1"	[28, -1, 1]	1000	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [-1754, -694], [-6703, 22367]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-694a-1754\\right){x}+22367a-6703"
"1000.14-d2"	"1000.14-d"	"2.0.111.1"	[28, -1, 1]	1000	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[1, 1], [-1, -1], [0, 0], [121, -69], [2672, 492]]	"{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(-69a+121\\right){x}+492a+2672"
"1000.15-a1"	"1000.15-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [15, -6], [18, 28]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-6a+15\\right){x}+28a+18"
"1000.15-a2"	"1000.15-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [1, -1], [1, 1], [-80, 29], [-14, 124]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+\\left(-a+1\\right){x}^2+\\left(29a-80\\right){x}+124a-14"
"1000.15-b1"	"1000.15-b"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [143, -36], [-1341, 168]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-36a+143\\right){x}+168a-1341"
"1000.15-b2"	"1000.15-b"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[1, 1], [0, 1], [1, 1], [-1112, -21], [-10965, -1460]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^3+a{x}^2+\\left(-21a-1112\\right){x}-1460a-10965"
"1000.2-a1"	"1000.2-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [11, 4], [47, -29]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(4a+11\\right){x}-29a+47"
"1000.2-a2"	"1000.2-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 0], [0, 1], [-49, -31], [111, -125]]	"{y}^2+a{x}{y}+a{y}={x}^3+{x}^2+\\left(-31a-49\\right){x}-125a+111"
"1000.2-b1"	"1000.2-b"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [136, 21], [-2092, -47]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(21a+136\\right){x}-47a-2092"
"1000.2-b2"	"1000.2-b"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 1], [0, 1], [-1104, 6], [-11684, 341]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(a-1\\right){x}^2+\\left(6a-1104\\right){x}+341a-11684"
"1000.3-a1"	"1000.3-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [-356, -26], [-1348, -725]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-26a-356\\right){x}-725a-1348"
"1000.3-a2"	"1000.3-a"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [1, 1], [0, 0], [1924, -241], [-35896, -2206]]	"{y}^2+a{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-241a+1924\\right){x}-2206a-35896"
"1000.3-b1"	"1000.3-b"	"2.0.111.1"	[28, -1, 1]	1000	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-637, -10], [8569, 95]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(-10a-637\\right){x}+95a+8569"
"1000.3-b2"	"1000.3-b"	"2.0.111.1"	[28, -1, 1]	1000	1	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 1], [-17, 5], [177, 21]]	"{y}^2+a{x}{y}+a{y}={x}^3-{x}^2+\\left(5a-17\\right){x}+21a+177"
"1000.3-c1"	"1000.3-c"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [329, -52], [1862, 735]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(-52a+329\\right){x}+735a+1862"
"1000.3-c2"	"1000.3-c"	"2.0.111.1"	[28, -1, 1]	1000	0	[2]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [49, 413], [34538, 2207]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(413a+49\\right){x}+2207a+34538"
"1000.3-d1"	"1000.3-d"	"2.0.111.1"	[28, -1, 1]	1000	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [-2448, 694], [15664, -22367]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(694a-2448\\right){x}-22367a+15664"
"1000.3-d2"	"1000.3-d"	"2.0.111.1"	[28, -1, 1]	1000	"0 \\le r \\le 1"	[2]	0	"1.2.A.1.1a"	[[0, 1], [-1, 0], [0, 0], [52, 69], [3164, -492]]	"{y}^2+a{x}{y}={x}^3-{x}^2+\\left(69a+52\\right){x}-492a+3164"
"1000.7-a1"	"1000.7-a"	"2.0.111.1"	[28, -1, 1]	1000	1	[]	0	"1.2.A.1.1a"	[[0, 1], [0, 0], [0, 1], [193, 6], [-34, -152]]	"{y}^2+a{x}{y}+a{y}={x}^3+\\left(6a+193\\right){x}-152a-34"
"1000.7-b1"	"1000.7-b"	"2.0.111.1"	[28, -1, 1]	1000	1	[]	0	"1.2.A.1.1a"	[[0, 0], [1, 0], [0, 0], [20, -4], [-44, -4]]	"{y}^2={x}^3+{x}^2+\\left(-4a+20\\right){x}-4a-44"


#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