#Note: 294 of these are "degenerate conic" and so may not be that interesting, #but that still leaves 22884 6 digit repetends that result in a conic.

ans := [[1/819, x^2-x*y+y^2-x-y], [4/3003, x^2-2/3*x*y+1/2*y^2-2*x-1/2*y], [1343/999999, x^2-2/3*x*y+2/3*y^2-3*x-2/3*y], [1/693, x^2-1/2*x*y+1/3*y^2-3*x-1/3*y], [166/111111, x^2-3/2*x*y+3/4*y^2-4*x-3/4*y], [2/1287, x^2-2/5*x*y+1/4*y^2-4*x-1/4*y], [1637/999999, x^2+2/7*x*y+1/7*y^2-7*x-1/7*y], [5/3003, x^2-1/3*x*y+1/5*y^2-5*x-1/5*y], [16/9009, x^2-2/7*x*y+1/6*y^2-6*x-1/6*y], [17/9009, x^2-1/4*x*y+1/7*y^2-7*x-1/7*y], [2/1001, x^2-2/9*x*y+1/8*y^2-8*x-1/8*y], [1/429, x^2-4/3*x*y+2*y^2-x-4*y], [2/819, x^2-x*y+y^2-2*x-2*y], [23/9009, x^2-4/5*x*y+2/3*y^2-3*x-4/3*y], [8/3003, x^2-2/3*x*y+1/2*y^2-4*x-y], [2686/999999, x^2-2/3*x*y+2/3*y^2-6*x-4/3*y], [25/9009, x^2-4/7*x*y+2/5*y^2-5*x-4/5*y], [2/693, x^2-1/2*x*y+1/3*y^2-6*x-2/3*y], [3/1001, x^2-4/9*x*y+2/7*y^2-7*x-4/7*y], [3431/999999, x^2-x*y+3/2*y^2-x-9/2*y], [3439/999999, x^2+5/3*x*y-1/2*y^2-9*x+3/2*y], [31/9009, x^2-3/2*x*y+3*y^2-x-9*y], [32/9009, x^2-6/5*x*y+3/2*y^2-2*x-9/2*y], [1/273, x^2-x*y+y^2-3*x-3*y], [34/9009, x^2-6/7*x*y+3/4*y^2-4*x-9/4*y], [5/1287, x^2-3/4*x*y+3/5*y^2-5*x-9/5*y], [4/1001, x^2-2/3*x*y+1/2*y^2-6*x-3/2*y], [41/9009, x^2-8/5*x*y+4*y^2-x-16*y], [4616/999999, x^2+1/6*x*y+1/3*y^2-6*x-4/3*y], [2/429, x^2-4/3*x*y+2*y^2-2*x-8*y], [43/9009, x^2-8/7*x*y+4/3*y^2-3*x-16/3*y], [4/819, x^2-x*y+y^2-4*x-4*y], [183/37037, x^2-2*x*y+4/3*y^2-x-16/3*y], [5/1001, x^2-8/9*x*y+4/5*y^2-5*x-16/5*y], [17/3003, x^2-5/3*x*y+5*y^2-x-25*y], [4/693, x^2-10/7*x*y+5/2*y^2-2*x-25/2*y], [53/9009, x^2-5/4*x*y+5/3*y^2-3*x-25/3*y], [6/1001, x^2-10/9*x*y+5/4*y^2-4*x-25/4*y], [6164/999999, x^2+1/2*x*y+3*y^2-4*x-18*y], [6169/999999, x^2+4/3*x*y-2*y^2-9*x+12*y], [61/9009, x^2-12/7*x*y+6*y^2-x-36*y], [6847/999999, "degenerate conic"], [6862/999999, x^2-x*y+3/2*y^2-2*x-9*y], [62/9009, x^2-3/2*x*y+3*y^2-2*x-18*y], [1/143, x^2-4/3*x*y+2*y^2-3*x-12*y], [802/111111, "degenerate conic"], [7361/999999, x^2+2*x*y+7*y^2-x-49*y], [71/9009, x^2-7/4*x*y+7*y^2-x-49*y], [8/1001, x^2-14/9*x*y+7/2*y^2-2*x-49/2*y], [9/1001, x^2-16/9*x*y+8*y^2-x-64*y], [9343/999999, x^2-10/3*x*y-2*y^2-3*x+18*y], [9364/999999, "degenerate conic"], [9616/999999, x^2-2/3*x*y-1/2*y^2-6*x+9/2*y], [92/9009, x^2+x*y+y^2-3*x-3*y+2], [10232/999999, x^2+2+y^2-3*x-3*y], [1138/111111, x^2-1/2*x*y+y^2-3*x-3*y+2], [932/90909, x^2-x*y+y^2-3*x-3*y+2], [10258/999999, "degenerate conic"], [1466/142857, x^2-3/2*x*y+y^2-3*x-3*y+2], [3424/333333, x^2-2*x*y+y^2-3*x-3*y+2], [10282/999999, x^2-5/2*x*y+y^2-3*x-3*y+2], [10292/999999, x^2-3*x*y+y^2-3*x-3*y+2], [10313/999999, x^2+x*y+y^2-4*x-4*y+3], [31/3003, x^2+2/3*x*y+y^2-4*x-4*y+3], [10343/999999, x^2+3+y^2-4*x-4*y], [493/47619, x^2-1/3*x*y+y^2-4*x-4*y+3], [10363/999999, x^2-2/3*x*y+y^2-4*x-4*y+3], [943/90909, x^2-x*y+y^2-4*x-4*y+3], [3461/333333, x^2-4/3*x*y+y^2-4*x-4*y+3], [10393/999999, x^2-5/3*x*y+y^2-4*x-4*y+3], [10414/999999, x^2+x*y+y^2-5*x-5*y+4], [10424/999999, x^2+3/4*x*y+y^2-5*x-5*y+4], [94/9009, x^2+1/2*x*y+y^2-5*x-5*y+4], [10454/999999, x^2+4+y^2-5*x-5*y], [3488/333333, x^2-1/4*x*y+y^2-5*x-5*y+4], [10474/999999, x^2-1/2*x*y+y^2-5*x-5*y+4], [10484/999999, x^2-3/4*x*y+y^2-5*x-5*y+4], [106/10101, x^2-x*y+y^2-5*x-5*y+4], [3505/333333, x^2+x*y+y^2-6*x-6*y+5], [10525/999999, x^2+4/5*x*y+y^2-6*x-6*y+5], [1505/142857, x^2+3/5*x*y+y^2-6*x-6*y+5], [95/9009, x^2+2/5*x*y+y^2-6*x-6*y+5], [10565/999999, x^2+5+y^2-6*x-6*y], [1175/111111, x^2-1/5*x*y+y^2-6*x-6*y+5], [10585/999999, x^2-2/5*x*y+y^2-6*x-6*y+5], [815/76923, x^2-3/5*x*y+y^2-6*x-6*y+5], [10616/999999, x^2+x*y+y^2-7*x-7*y+6], [46/4329, x^2+5/6*x*y+y^2-7*x-7*y+6], [10636/999999, x^2+2/3*x*y+y^2-7*x-7*y+6], [10646/999999, x^2+1/2*x*y+y^2-7*x-7*y+6], [32/3003, x^2+1/3*x*y+y^2-7*x-7*y+6], [10676/999999, x^2+6+y^2-7*x-7*y], [274/25641, x^2-1/6*x*y+y^2-7*x-7*y+6], [1528/142857, x^2-1/3*x*y+y^2-7*x-7*y+6], [3566/333333, x^2-7/27*x*y+4/3*y^2-9*x-28/3*y+8], [1531/142857, x^2+x*y+y^2-8*x-8*y+7], [10727/999999, x^2+6/7*x*y+y^2-8*x-8*y+7], [1193/111111, x^2+5/7*x*y+y^2-8*x-8*y+7], [977/90909, x^2+4/7*x*y+y^2-8*x-8*y+7], [10757/999999, x^2+3/7*x*y+y^2-8*x-8*y+7], [97/9009, x^2+2/7*x*y+y^2-8*x-8*y+7], [1541/142857, x^2+7+y^2-8*x-8*y], [3599/333333, x^2-1/7*x*y+y^2-8*x-8*y+7], [1202/111111, x^2+x*y+y^2-9*x-9*y+8], [10828/999999, x^2+7/8*x*y+y^2-9*x-9*y+8], [10838/999999, x^2+3/4*x*y+y^2-9*x-9*y+8], [3616/333333, x^2+5/8*x*y+y^2-9*x-9*y+8], [10858/999999, x^2+1/2*x*y+y^2-9*x-9*y+8], [76/6993, x^2+3/8*x*y+y^2-9*x-9*y+8], [14/1287, x^2+1/4*x*y+y^2-9*x-9*y+8], [3632/333333, x^2-7/36*x*y+3/4*y^2-7*x-27/4*y+6], [10898/999999, x^2+8+y^2-9*x-9*y], [10919/999999, x^2+x*y+y^2-10*x-10*y+9], [3643/333333, x^2+8/9*x*y+y^2-10*x-10*y+9], [10939/999999, x^2+7/9*x*y+y^2-10*x-10*y+9], [10949/999999, x^2+2/3*x*y+y^2-10*x-10*y+9], [281/25641, x^2+5/9*x*y+y^2-10*x-10*y+9], [1567/142857, x^2+4/9*x*y+y^2-10*x-10*y+9], [10979/999999, x^2+1/3*x*y+y^2-10*x-10*y+9], [1/91, x^2+2/9*x*y+y^2-10*x-10*y+9], [415/37037, x^2+6*x*y+2*y^2-7*x-12*y+10], [34/3003, x^2-4*x*y-2*y^2+3*x+12*y-10], [103/9009, x^2-3*x*y-3*y^2+2*x+18*y-15], [8/693, x^2-8/3*x*y-4*y^2+5/3*x+80/3*y-68/3], [554/47619, x^2-6*x*y-5*y^2+5*x+41*y-36], [5/429, x^2-5/2*x*y-5*y^2+3/2*x+75/2*y-65/2], [106/9009, x^2-12/5*x*y-6*y^2+7/5*x+252/5*y-222/5], [107/9009, x^2-7/3*x*y-7*y^2+4/3*x+196/3*y-175/3], [12/1001, x^2-16/7*x*y-8*y^2+9/7*x+576/7*y-520/7], [4007/333333, x^2+x*y+y^2-3*x-3*y+2], [4034/333333, x^2+x*y+y^2-3*x-3*y+2], [12104/999999, x^2+3*x*y+y^2-5*x-5*y+4], [1345/111111, x^2+4*x*y+y^2-6*x-6*y+5], [12106/999999, x^2+5*x*y+y^2-7*x-7*y+6], [12107/999999, x^2+6*x*y+y^2-8*x-8*y+7], [4036/333333, x^2+7*x*y+y^2-9*x-9*y+8], [12109/999999, x^2+8*x*y+y^2-10*x-10*y+9], [1348/111111, x^2-2*x*y-1/2*y^2-4+9/2*y], [10/819, x^2-x*y+y^2-x-y], [12421/999999, x^2-3*x*y+y^2+x+y-2], [16/1287, x^2-13/8*x*y+1/4*y^2-3/4*x+9/4*y-5/2], [12521/999999, x^2-4*x*y+y^2+2*x+2*y-3], [113/9009, x^2-14/11*x*y-1/11*y^2-20/11*x+40/11*y-39/11], [601/47619, x^2-5*x*y+y^2+3*x+3*y-4], [12625/999999, x^2-5/3*x*y-1/3*y^2-11/3*x+7*y-20/3], [38/3003, x^2-49/47*x*y-13/47*y^2-135/47*x+225/47*y-212/47], [12721/999999, x^2-6*x*y+y^2+4*x+4*y-5], [115/9009, x^2-38/43*x*y-17/43*y^2-168/43*x+252/43*y-235/43], [12821/999999, x^2-7*x*y+y^2+5*x+5*y-6], [116/9009, x^2-109/142*x*y-34/71*y^2-350/71*x+490/71*y-456/71], [4307/333333, x^2-8*x*y+y^2+6*x+6*y-7], [1/77, x^2-74/109*x*y-59/109*y^2-648/109*x+864/109*y-805/109], [13031/999999, x^2+x*y+y^2-4*x-4*y+3], [1448/111111, x^2+4/3*x*y+2*y^2-5*x-8*y+6], [13102/999999, x^2+2+y^2-3*x-3*y], [13103/999999, x^2+x*y+y^2-4*x-4*y+3], [13105/999999, x^2+3*x*y+y^2-6*x-6*y+5], [13106/999999, x^2+4*x*y+y^2-7*x-7*y+6], [4369/333333, x^2+5*x*y+y^2-8*x-8*y+7], [13108/999999, x^2+6*x*y+y^2-9*x-9*y+8], [13109/999999, x^2+7*x*y+y^2-10*x-10*y+9], [337/25641, x^2-x*y-1/3*y^2-2*x+10/3*y-3], [489/37037, x^2+4/3*x*y+2*y^2-5*x-8*y+6], [1468/111111, x^2-2*x*y-1/2*y^2-4+9/2*y], [13231/999999, x^2+2+y^2-3*x-3*y], [40/3003, x^2-2/3*x*y+1/2*y^2-2*x-1/2*y], [13430/999999, x^2-2/3*x*y+2/3*y^2-3*x-2/3*y], [11/819, x^2-x*y+y^2-2*x-2*y+1], [13441/999999, x^2-x*y+3/2*y^2-3*x-7/2*y+2], [1933/142857, x^2-3/2*x*y+y^2-3/2*x-3/2*y+1/2], [122/9009, x^2-28/23*x*y+17/23*y^2-45/23*x-15/23*y-2/23], [137/10101, x^2-4/3*x*y+y^2-3*x-y], [13631/999999, x^2-2*x*y+y^2-x-y], [41/3003, x^2-61/54*x*y+4/9*y^2-47/18*x+13/18*y-7/6], [13696/999999, x^2-16/15*x*y+1/2*y^2-28/5*x+19/10*y-12/5], [13831/999999, x^2-3*x*y+y^2-1], [125/9009, x^2-169/191*x*y+23/191*y^2-852/191*x+492/191*y-515/191], [13931/999999, x^2-7/2*x*y+y^2+1/2*x+1/2*y-3/2], [2/143, x^2-244/309*x*y+3/103*y^2-561/103*x+339/103*y-342/103], [14041/999999, x^2+x*y+y^2-5*x-5*y+4], [4681/333333, x^2+3/2*x*y+3*y^2-7*x-15*y+12], [1282/90909, x^2-x*y+y^2-3*x-3*y+2], [1567/111111, x^2+3+y^2-4*x-4*y], [14104/999999, x^2+x*y+y^2-5*x-5*y+4], [4702/333333, x^2+3*x*y+y^2-7*x-7*y+6], [14107/999999, x^2+4*x*y+y^2-8*x-8*y+7], [14108/999999, x^2+5*x*y+y^2-9*x-9*y+8], [4703/333333, x^2+6*x*y+y^2-10*x-10*y+9], [674/47619, x^2-2/3*x*y-1/4*y^2-10/3*x+35/12*y-8/3], [4747/333333, x^2+1/3*x*y+y^2-13/3*x-13/3*y+10/3], [4768/333333, x^2+3/2*x*y+3*y^2-7*x-15*y+12], [367/25641, x^2-x*y-1/3*y^2-2*x+10/3*y-3], [14341/999999, x^2+3+y^2-4*x-4*y], [14348/999999, x^2+7/8*x*y-3/4*y^2-15/2*x+19/4*y-4], [10/693, x^2-1/2*x*y+1/3*y^2-3*x-1/3*y], [14431/999999, x^2-2/3*x*y+2/3*y^2-7/3*x-2*y+4/3], [131/9009, x^2-2/3*x*y+y^2-10/3*x-10/3*y+7/3], [1331/90909, x^2-x*y+y^2-3*x-3*y+2], [4/273, x^2-x*y+y^2-3*x-3*y+2], [14741/999999, x^2-4/3*x*y+y^2-8/3*x-8/3*y+5/3], [14752/999999, x^2-28/23*x*y+20/23*y^2-61/23*x-50/23*y+30/23], [19/1287, x^2-18/17*x*y+13/17*y^2-56/17*x-28/17*y+15/17], [64/4329, x^2-7/6*x*y+y^2-13/3*x-7/3*y+4/3], [4934/333333, x^2-39/4*x*y+8*y^2-10*x-24*y+16], [1649/111111, x^2-5/3*x*y+y^2-7/3*x-7/3*y+4/3], [134/9009, x^2-193/192*x*y+9/16*y^2-191/48*x-23/48*y-1/12], [382/25641, x^2-9/14*x*y+1/2*y^2-55/7*x+9/14*y-8/7], [1660/111111, x^2-3/2*x*y+3/4*y^2-4*x-3/4*y], [14941/999999, x^2-2*x*y+y^2-2*x-2*y+1], [15/1001, x^2-38/41*x*y+17/41*y^2-198/41*x+18/41*y-35/41], [5017/333333, x^2+x*y+y^2-6*x-6*y+5], [386/25641, x^2+8/5*x*y+4*y^2-9*x-24*y+20], [1678/111111, x^2-2*x*y+y^2-3*x-3*y+2], [1373/90909, x^2-x*y+y^2-4*x-4*y+3], [15104/999999, x^2+4+y^2-5*x-5*y], [5035/333333, x^2+x*y+y^2-6*x-6*y+5], [15107/999999, x^2+3*x*y+y^2-8*x-8*y+7], [5036/333333, x^2+4*x*y+y^2-9*x-9*y+8], [15109/999999, x^2+5*x*y+y^2-10*x-10*y+9], [1685/111111, x^2-1/2*x*y-1/5*y^2-9/2*x+27/10*y-5/2], [15251/999999, x^2+1/2*x*y+y^2-11/2*x-11/2*y+9/2], [731/47619, x^2+1/4*x*y+y^2-21/4*x-21/4*y+17/4], [395/25641, x^2+8/5*x*y+4*y^2-9*x-24*y+20], [734/47619, x^2-2/3*x*y-1/4*y^2-10/3*x+35/12*y-8/3], [15451/999999, x^2+4+y^2-5*x-5*y], [20/1287, x^2-2/5*x*y+1/4*y^2-4*x-1/4*y], [47/3003, x^2-1/2*x*y+y^2-9/2*x-9/2*y+7/2], [15751/999999, x^2-3/4*x*y+y^2-17/4*x-17/4*y+13/4], [142/9009, x^2-76/89*x*y+104/89*y^2-357/89*x-462/89*y+358/89], [1441/90909, x^2-x*y+y^2-4*x-4*y+3], [1/63, x^2-x*y+y^2-4*x-4*y+3], [5297/333333, x^2-9/7*x*y+2*y^2-54/7*x-61/7*y+47/7], [409/25641, 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x^2-2/5*x*y+y^2-28/5*x-28/5*y+23/5], [1297/76923, x^2-3/5*x*y+y^2-27/5*x-27/5*y+22/5], [152/9009, x^2-109/146*x*y+94/73*y^2-366/73*x-534/73*y+440/73], [2423/142857, x^2-4/5*x*y+y^2-26/5*x-26/5*y+21/5], [17/1001, x^2-122/129*x*y+51/43*y^2-204/43*x-276/43*y+225/43], [17071/999999, x^2+x*y+y^2-8*x-8*y+7], [5692/333333, x^2+12/7*x*y+6*y^2-13*x-48*y+42], [17102/999999, x^2-4*x*y+y^2-3*x-3*y+2], [5701/333333, x^2-3*x*y+y^2-4*x-4*y+3], [17104/999999, x^2-2*x*y+y^2-5*x-5*y+4], [1555/90909, x^2-x*y+y^2-6*x-6*y+5], [5702/333333, x^2+6+y^2-7*x-7*y], [17107/999999, x^2+x*y+y^2-8*x-8*y+7], [1901/111111, x^2+3*x*y+y^2-10*x-10*y+9], [5729/333333, x^2-1/3*x*y-1/7*y^2-20/3*x+52/21*y-7/3], [1919/111111, x^2+2/3*x*y+y^2-23/3*x-23/3*y+20/3], [17371/999999, x^2+1/2*x*y+y^2-15/2*x-15/2*y+13/2], [17471/999999, x^2+1/3*x*y+y^2-22/3*x-22/3*y+19/3], [5857/333333, x^2+1/6*x*y+y^2-43/6*x-43/6*y+37/6], [5869/333333, x^2+12/7*x*y+6*y^2-13*x-48*y+42], [5872/333333, x^2-2/5*x*y-1/6*y^2-28/5*x+77/30*y-12/5], [17671/999999, x^2+6+y^2-7*x-7*y], [160/9009, x^2-2/7*x*y+1/6*y^2-6*x-1/6*y], [23/1287, x^2-1/3*x*y+y^2-20/3*x-20/3*y+17/3], [17971/999999, x^2-1/2*x*y+y^2-13/2*x-13/2*y+11/2], [18/1001, x^2-148/223*x*y+307/223*y^2-1341/223*x-2097/223*y+1790/223], [287/15873, x^2+x*y+y^2-9*x-9*y+8], [6029/333333, x^2+7/4*x*y+7*y^2-15*x-63*y+56], [862/47619, x^2-5*x*y+y^2-3*x-3*y+2], [18103/999999, x^2-4*x*y+y^2-4*x-4*y+3], [18104/999999, x^2-3*x*y+y^2-5*x-5*y+4], [6035/333333, x^2-2*x*y+y^2-6*x-6*y+5], [1646/90909, x^2-x*y+y^2-7*x-7*y+6], [18107/999999, x^2+7+y^2-8*x-8*y], [2012/111111, x^2+x*y+y^2-9*x-9*y+8], [674/37037, x^2-2/7*x*y-1/8*y^2-54/7*x+135/56*y-16/7], [2606/142857, x^2-29/2*x*y-3*y^2+17*x+41*y-38], [18281/999999, x^2+5/7*x*y+y^2-61/7*x-61/7*y+54/7], [557/30303, x^2+4/7*x*y+y^2-60/7*x-60/7*y+53/7], [18481/999999, x^2+3/7*x*y+y^2-59/7*x-59/7*y+52/7], [18581/999999, x^2+2/7*x*y+y^2-58/7*x-58/7*y+51/7], [479/25641, x^2+1/7*x*y+y^2-57/7*x-57/7*y+50/7], [6236/333333, x^2+7/4*x*y+7*y^2-15*x-63*y+56], [6239/333333, x^2-1/3*x*y-1/7*y^2-20/3*x+52/21*y-7/3], [2683/142857, x^2+7+y^2-8*x-8*y], [170/9009, x^2-1/4*x*y+1/7*y^2-7*x-1/7*y], [19/1001, x^2-2/7*x*y+y^2-54/7*x-54/7*y+47/7], [19091/999999, x^2+x*y+y^2-10*x-10*y+9], [2122/111111, x^2+16/9*x*y+8*y^2-17*x-80*y+72], [19102/999999, x^2-6*x*y+y^2-3*x-3*y+2], [2729/142857, x^2-5*x*y+y^2-4*x-4*y+3], [6368/333333, x^2-4*x*y+y^2-5*x-5*y+4], [19105/999999, x^2-3*x*y+y^2-6*x-6*y+5], [19106/999999, x^2-2*x*y+y^2-7*x-7*y+6], [193/10101, x^2-x*y+y^2-8*x-8*y+7], [19108/999999, x^2+8+y^2-9*x-9*y], [19109/999999, x^2+x*y+y^2-10*x-10*y+9], [19291/999999, x^2+3/4*x*y+y^2-39/4*x-39/4*y+35/4], [19343/999999, x^2-6*x*y-2*y^2+5*x+26*y-24], [19391/999999, x^2+5/8*x*y+y^2-77/8*x-77/8*y+69/8], [6497/333333, x^2+1/2*x*y+y^2-19/2*x-19/2*y+17/2], [137/6993, x^2+3/8*x*y+y^2-75/8*x-75/8*y+67/8], [2813/142857, x^2+1/4*x*y+y^2-37/4*x-37/4*y+33/4], [733/37037, x^2+1/8*x*y+y^2-73/8*x-73/8*y+65/8], [2201/111111, x^2+16/9*x*y+8*y^2-17*x-80*y+72], [734/37037, x^2-2/7*x*y-1/8*y^2-54/7*x+135/56*y-16/7], [509/25641, x^2-9/14*x*y+1/2*y^2-61/14*x-27/7*y+47/14], [19891/999999, x^2+8+y^2-9*x-9*y], [6631/333333, x^2-7/27*x*y+4/3*y^2-20/3*x-37/3*y+11], [20/1001, x^2-2/9*x*y+1/8*y^2-8*x-1/8*y], [6707/333333, x^2+x*y+y^2-3*x-3*y+2], [20131/999999, x^2+2+y^2-3*x-3*y], [1831/90909, x^2-x*y+y^2-3*x-3*y+2], [6716/333333, x^2-39/4*x*y+8*y^2-10*x-24*y+16], [2239/111111, x^2-2*x*y+y^2-3*x-3*y+2], [20161/999999, x^2-3*x*y+y^2-3*x-3*y+2], [20171/999999, x^2-4*x*y+y^2-3*x-3*y+2], [961/47619, x^2-5*x*y+y^2-3*x-3*y+2], [20191/999999, x^2-6*x*y+y^2-3*x-3*y+2], [61/3003, x^2+4/3*x*y+y^2-5*x-5*y+6], [20323/999999, x^2+x*y+y^2-5*x-5*y+6], [6781/333333, x^2+1/3*x*y+y^2-5*x-5*y+6], [20353/999999, x^2+6+y^2-5*x-5*y], [2909/142857, x^2-1/3*x*y+y^2-5*x-5*y+6], [6791/333333, x^2-2/3*x*y+y^2-5*x-5*y+6], [1853/90909, x^2-x*y+y^2-5*x-5*y+6], [20393/999999, x^2-4/3*x*y+y^2-5*x-5*y+6], [20414/999999, x^2+5/4*x*y+y^2-6*x-6*y+8], [184/9009, x^2+x*y+y^2-6*x-6*y+8], [20434/999999, x^2+3/4*x*y+y^2-6*x-6*y+8], [974/47619, x^2+1/4*x*y+y^2-6*x-6*y+8], [20464/999999, x^2+8+y^2-6*x-6*y], [20474/999999, x^2-1/4*x*y+y^2-6*x-6*y+8], [2276/111111, x^2-1/2*x*y+y^2-6*x-6*y+8], [20494/999999, x^2-3/4*x*y+y^2-6*x-6*y+8], [1865/90909, x^2+6/5*x*y+y^2-7*x-7*y+10], [20525/999999, x^2+x*y+y^2-7*x-7*y+10], [185/9009, x^2+4/5*x*y+y^2-7*x-7*y+10], [2935/142857, x^2+3/5*x*y+y^2-7*x-7*y+10], [2285/111111, x^2+1/5*x*y+y^2-7*x-7*y+10], [20575/999999, x^2+10+y^2-7*x-7*y], [20585/999999, x^2-1/5*x*y+y^2-7*x-7*y+10], [6865/333333, x^2-2/5*x*y+y^2-7*x-7*y+10], [6872/333333, x^2+7/6*x*y+y^2-8*x-8*y+12], [20626/999999, x^2+x*y+y^2-8*x-8*y+12], [268/12987, x^2+5/6*x*y+y^2-8*x-8*y+12], [62/3003, x^2+2/3*x*y+y^2-8*x-8*y+12], [20656/999999, x^2+1/2*x*y+y^2-8*x-8*y+12], [6892/333333, x^2+1/6*x*y+y^2-8*x-8*y+12], [20686/999999, x^2+12+y^2-8*x-8*y], [1592/76923, x^2-1/6*x*y+y^2-8*x-8*y+12], [20717/999999, x^2+8/7*x*y+y^2-9*x-9*y+14], [329/15873, x^2+x*y+y^2-9*x-9*y+14], [20737/999999, x^2+6/7*x*y+y^2-9*x-9*y+14], [20747/999999, x^2+5/7*x*y+y^2-9*x-9*y+14], [17/819, x^2+4/7*x*y+y^2-9*x-9*y+14], [20767/999999, x^2+3/7*x*y+y^2-9*x-9*y+14], [533/25641, x^2+1/7*x*y+y^2-9*x-9*y+14], [2971/142857, x^2+14+y^2-9*x-9*y], [2974/142857, x^2+9/8*x*y+y^2-10*x-10*y+16], [20828/999999, x^2+x*y+y^2-10*x-10*y+16], [6946/333333, x^2+7/8*x*y+y^2-10*x-10*y+16], [6947/333333, x^2-39/32*x*y+1/8*y^2-3*x-5/4*y+2], [20848/999999, x^2+3/4*x*y+y^2-10*x-10*y+16], [20858/999999, x^2+5/8*x*y+y^2-10*x-10*y+16], [188/9009, x^2+1/2*x*y+y^2-10*x-10*y+16], [146/6993, x^2+3/8*x*y+y^2-10*x-10*y+16], [774/37037, x^2+1/8*x*y+y^2-10*x-10*y+16], [6973/333333, x^2+10/9*x*y+y^2-11*x-11*y+18], [20929/999999, x^2+x*y+y^2-11*x-11*y+18], [20939/999999, x^2+8/9*x*y+y^2-11*x-11*y+18], [6983/333333, x^2+7/9*x*y+y^2-11*x-11*y+18], [20959/999999, x^2+2/3*x*y+y^2-11*x-11*y+18], [1613/76923, x^2+5/9*x*y+y^2-11*x-11*y+18], [3/143, x^2+4/9*x*y+y^2-11*x-11*y+18], [20989/999999, x^2+1/3*x*y+y^2-11*x-11*y+18], [7004/333333, x^2+x*y+y^2-3*x-3*y+2], [335/15873, x^2+3*x*y+1/2*y^2-6*x-7/2*y+5], [191/9009, x^2+x*y+y^2-3*x-3*y+2], [21205/999999, x^2+3*x*y+y^2-7*x-7*y+10], [21206/999999, x^2+7/2*x*y+y^2-8*x-8*y+12], [7069/333333, x^2+4*x*y+y^2-9*x-9*y+14], [1928/90909, x^2+9/2*x*y+y^2-10*x-10*y+16], [21209/999999, x^2+5*x*y+y^2-11*x-11*y+18], [337/15873, x^2+4*x*y-2*y^2-9*x+8], [64/3003, x^2+4*x*y+y^2-9*x-9*y+14], [21412/999999, x^2+5*x*y+y^2-11*x-11*y+18], [193/9009, x^2+13/2*x*y+4*y^2-17*x-29*y+42], [21512/999999, x^2+6*x*y+y^2-13*x-13*y+22], [7204/333333, x^2+7*x*y+y^2-15*x-15*y+26], [5/231, x^2+49/19*x*y+67/19*y^2-261/19*x-549/19*y+830/19], [21712/999999, x^2+8*x*y+y^2-17*x-17*y+30], [28/1287, x^2+76/41*x*y+131/41*y^2-553/41*x-1183/41*y+1842/41], [3116/142857, x^2+9*x*y+y^2-19*x-19*y+34], [197/9009, x^2+109/76*x*y+113/38*y^2-261/19*x-561/19*y+896/19], [664/30303, x^2+10*x*y+y^2-21*x-21*y+38], [2/91, x^2+148/127*x*y+358/127*y^2-1809/127*x-3888/127*y+6344/127], [67/3003, x^2+2*x*y-1/2*y^2-6*x-3/2*y+5], [29/1287, x^2-6*x*y-3/2*y^2+10*x+45/2*y-39], [68/3003, x^2-4*x*y-2*y^2+6*x+24*y-40], [205/9009, x^2-10/3*x*y-5/2*y^2+14/3*x+175/6*y-145/3], [206/9009, x^2-3*x*y-3*y^2+4*x+36*y-60], [23/1001, x^2-14/5*x*y-7/2*y^2+18/5*x+441/10*y-371/5], [853/37037, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3], [23032/999999, x^2+x*y+y^2-5*x-5*y+6], [2567/111111, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3], [367/15873, x^2+4*x*y-2*y^2-9*x+8], [23132/999999, x^2+2+y^2-3*x-3*y], [23201/999999, x^2+2+y^2-3*x-3*y], [23203/999999, x^2+x*y+y^2-5*x-5*y+6], [23204/999999, x^2+3/2*x*y+y^2-6*x-6*y+8], [23206/999999, x^2+5/2*x*y+y^2-8*x-8*y+12], [23207/999999, x^2+3*x*y+y^2-9*x-9*y+14], [7736/333333, x^2+7/2*x*y+y^2-10*x-10*y+16], [23209/999999, x^2+4*x*y+y^2-11*x-11*y+18], [7751/333333, x^2-4*x*y-2/3*y^2+5*x+40/3*y-24], [10/429, x^2-4/3*x*y+2*y^2-x-4*y], [211/9009, x^2-13/2*x*y+4*y^2+9*x-3*y-10], [23432/999999, x^2-3*x*y+y^2+3*x+3*y-10], [79/3367, x^2-11/3*x*y+y^2+3*x+7*y-18], [7828/333333, x^2-25/8*x*y+1/4*y^2+3/2*x+21/2*y-22], [212/9009, x^2-4*x*y+y^2+5*x+5*y-14], [3376/142857, x^2-5*x*y+y^2+7*x+7*y-18], [71/3003, x^2-73/27*x*y+1/9*y^2+19/9*x+67/9*y-46/3], [23732/999999, x^2-6*x*y+y^2+9*x+9*y-22], [214/9009, x^2-124/59*x*y-16/59*y^2+21/59*x+546/59*y-1028/59], [2648/111111, x^2-7*x*y+y^2+11*x+11*y-26], [1135/47619, x^2-4*x*y-1/2*y^2+2*x+37/2*y-35], [23932/999999, x^2-8*x*y+y^2+13*x+13*y-30], [24/1001, x^2-268/177*x*y-39/59*y^2-129/59*x+753/59*y-1350/59], [8014/333333, x^2+x*y+y^2-6*x-6*y+8], [731/30303, x^2+8*x*y+y^2-17*x-23*y+42], [24142/999999, x^2+1/2*x*y+y^2-5*x-5*y+6], [2689/111111, x^2-1/2*x*y+y^2-3*x-3*y+2], [24203/999999, x^2+1/2*x*y+y^2-5*x-5*y+6], [8068/333333, x^2+x*y+y^2-6*x-6*y+8], [24205/999999, x^2+3/2*x*y+y^2-7*x-7*y+10], [8069/333333, x^2+5/2*x*y+y^2-9*x-9*y+14], [24208/999999, x^2+3*x*y+y^2-10*x-10*y+16], [24209/999999, x^2+7/2*x*y+y^2-11*x-11*y+18], [2696/111111, x^2-2*x*y-1/2*y^2-16+9*y], [24281/999999, x^2+29/6*x*y-1/3*y^2-41/3*x-17/3*y+38/3], [8114/333333, x^2-1/2*x*y+y^2-3*x-3*y+2], [20/819, x^2-x*y+y^2-2*x-2*y], [17/693, x^2-28/17*x*y+23/17*y^2-15/17*x-45/17*y-2/17], [3506/142857, x^2-3/2*x*y+y^2-x-y-2], [24742/999999, x^2-5/2*x*y+y^2+x+y-6], [223/9009, x^2-124/67*x*y+37/67*y^2-35/67*x+175/67*y-498/67], [24842/999999, x^2-3*x*y+y^2+2*x+2*y-8], [32/1287, x^2-13/8*x*y+1/4*y^2-3/2*x+9/2*y-10], [8314/333333, x^2-7/2*x*y+y^2+3*x+3*y-10], [25/1001, x^2-316/221*x*y+11/221*y^2-567/221*x+1323/221*y-2690/221], [25052/999999, x^2+x*y+y^2-7*x-7*y+10], [1193/47619, x^2+6/5*x*y+3/2*y^2-8*x-21/2*y+15], [8384/333333, x^2+2/3*x*y+y^2-19/3*x-19/3*y+26/3], [2291/90909, x^2-x*y+y^2-3*x-3*y+2], [8401/333333, x^2+6+y^2-5*x-5*y], [25204/999999, x^2+1/2*x*y+y^2-6*x-6*y+8], [25205/999999, x^2+x*y+y^2-7*x-7*y+10], [8402/333333, x^2+3/2*x*y+y^2-8*x-8*y+12], [25208/999999, x^2+5/2*x*y+y^2-10*x-10*y+16], [2801/111111, x^2+3*x*y+y^2-11*x-11*y+18], [8425/333333, x^2-4/3*x*y-2/5*y^2-7/3*x+112/15*y-40/3], [1205/47619, x^2+6/5*x*y+3/2*y^2-8*x-21/2*y+15], [25309/999999, "degenerate conic"], [8441/333333, x^2-4*x*y-2/3*y^2+5*x+40/3*y-24], [25352/999999, x^2+6+y^2-5*x-5*y], [404/15873, x^2-1/3*x*y+y^2-13/3*x-13/3*y+14/3], [230/9009, x^2-4/5*x*y+2/3*y^2-3*x-4/3*y], [1/39, x^2-x*y+y^2-3*x-3*y+2], [2332/90909, x^2-x*y+y^2-3*x-3*y+2], [25741/999999, x^2-7/5*x*y+23/20*y^2-5/2*x-61/20*y+3/2], [232/9009, x^2-4/3*x*y+y^2-7/3*x-7/3*y+2/3], [25763/999999, x^2-28/23*x*y+20/23*y^2-65/23*x-34/23*y-12/23], [25852/999999, x^2-5/3*x*y+y^2-5/3*x-5/3*y-2/3], [233/9009, x^2-63/44*x*y+17/22*y^2-25/11*x-5/11*y-24/11], [25952/999999, x^2-2*x*y+y^2-x-y-2], [2/77, x^2-316/229*x*y+124/229*y^2-639/229*x+306/229*y-1108/229], [26062/999999, x^2+x*y+y^2-8*x-8*y+12], [2896/111111, x^2+4/3*x*y+2*y^2-10*x-16*y+24], [26162/999999, x^2+3/4*x*y+y^2-15/2*x-15/2*y+11], [3743/142857, x^2-3/2*x*y+y^2-3*x-3*y+2], [26203/999999, x^2-1/2*x*y+y^2-5*x-5*y+6], [26204/999999, x^2+8+y^2-6*x-6*y], [8735/333333, x^2+1/2*x*y+y^2-7*x-7*y+10], [26206/999999, x^2+x*y+y^2-8*x-8*y+12], [26207/999999, x^2+3/2*x*y+y^2-9*x-9*y+14], [26209/999999, x^2+5/2*x*y+y^2-11*x-11*y+18], [674/25641, x^2-x*y-1/3*y^2-4*x+20/3*y-12], [2027/76923, "degenerate conic"], [3766/142857, x^2+1/4*x*y+y^2-13/2*x-13/2*y+9], [978/37037, x^2+4/3*x*y+2*y^2-10*x-16*y+24], [2936/111111, x^2-2*x*y-1/2*y^2-16+9*y], [26462/999999, x^2+8+y^2-6*x-6*y], [8854/333333, x^2-1/4*x*y+y^2-11/2*x-11/2*y+7], [26605/999999, x^2+1/2*x*y+3*y^2-11*x-21*y+30], [80/3003, x^2-2/3*x*y+1/2*y^2-4*x-y], [241/9009, x^2-19/26*x*y+89/104*y^2-231/52*x-357/104*y+179/52], [26762/999999, x^2-3/4*x*y+y^2-9/2*x-9/2*y+5], [26860/999999, x^2-2/3*x*y+2/3*y^2-6*x-4/3*y], [22/819, x^2-x*y+y^2-4*x-4*y+4], [26882/999999, x^2-x*y+3/2*y^2-6*x-7*y+8], [26903/999999, x^2-17/6*x*y+9/2*y^2-12*x-45/2*y+27], [2074/76923, x^2-5/4*x*y+y^2-7/2*x-7/2*y+3], [27/1001, x^2-67/57*x*y+69/76*y^2-141/38*x-219/76*y+81/38], [3008/111111, x^2+x*y+y^2-9*x-9*y+14], [9025/333333, x^2+10/7*x*y+5/2*y^2-12*x-45/2*y+35], [27172/999999, x^2+4/5*x*y+y^2-43/5*x-43/5*y+66/5], [9067/333333, x^2-2*x*y+y^2-3*x-3*y+2], [2473/90909, x^2-x*y+y^2-5*x-5*y+6], [9068/333333, x^2-1/2*x*y+y^2-6*x-6*y+8], [27205/999999, x^2+10+y^2-7*x-7*y], [27206/999999, x^2+1/2*x*y+y^2-8*x-8*y+12], [3023/111111, x^2+x*y+y^2-9*x-9*y+14], [27208/999999, x^2+3/2*x*y+y^2-10*x-10*y+16], [1011/37037, x^2-4/5*x*y-2/7*y^2-27/5*x+216/35*y-56/5], [9124/333333, x^2+2/5*x*y+y^2-39/5*x-39/5*y+58/5], [27472/999999, x^2+1/5*x*y+y^2-37/5*x-37/5*y+54/5], [9169/333333, x^2+10/7*x*y+5/2*y^2-12*x-45/2*y+35], [9175/333333, x^2-4/3*x*y-2/5*y^2-7/3*x+112/15*y-40/3], [27572/999999, x^2+10+y^2-7*x-7*y], [9224/333333, x^2-1/5*x*y+y^2-33/5*x-33/5*y+46/5], [250/9009, x^2-4/7*x*y+2/5*y^2-5*x-4/5*y], [251/9009, x^2-109/188*x*y+73/94*y^2-267/47*x-183/47*y+220/47], [2144/76923, x^2-3/5*x*y+y^2-29/5*x-29/5*y+38/5], [3994/142857, "degenerate conic"], [4/143, x^2-4/5*x*y+y^2-27/5*x-27/5*y+34/5], [28082/999999, x^2+x*y+y^2-10*x-10*y+16], [9362/333333, x^2+3/2*x*y+3*y^2-14*x-30*y+48], [122/4329, x^2+5/6*x*y+y^2-29/3*x-29/3*y+46/3], [28201/999999, x^2-5/2*x*y+y^2-3*x-3*y+2], [1343/47619, x^2-3/2*x*y+y^2-5*x-5*y+6], [2564/90909, x^2-x*y+y^2-6*x-6*y+8], [28205/999999, x^2-1/2*x*y+y^2-7*x-7*y+10], [3134/111111, x^2+12+y^2-8*x-8*y], [28207/999999, x^2+1/2*x*y+y^2-9*x-9*y+14], [28208/999999, x^2+x*y+y^2-10*x-10*y+16], [9403/333333, x^2+3/2*x*y+y^2-11*x-11*y+18], [28382/999999, x^2+1/2*x*y+y^2-9*x-9*y+14], [9494/333333, x^2+1/3*x*y+y^2-26/3*x-26/3*y+40/3], [28582/999999, x^2+1/6*x*y+y^2-25/3*x-25/3*y+38/3], [9536/333333, x^2+3/2*x*y+3*y^2-14*x-30*y+48], [4087/142857, "degenerate conic"], [734/25641, x^2-x*y-1/3*y^2-4*x+20/3*y-12], [28682/999999, x^2+12+y^2-8*x-8*y], [82/2849, x^2-1/6*x*y+y^2-23/3*x-23/3*y+34/3], [20/693, x^2-1/2*x*y+1/3*y^2-6*x-2/3*y], [28862/999999, x^2-2/3*x*y+2/3*y^2-14/3*x-4*y+16/3], [29/1001, x^2-148/307*x*y+223/307*y^2-2097/307*x-1341/307*y+1790/307], [28982/999999, x^2-1/2*x*y+y^2-7*x-7*y+10], [4156/142857, x^2+x*y+y^2-11*x-11*y+18], [3233/111111, 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x^2+9/5*x*y+y^2-12*x-12*y+35], [53509/999999, x^2+11/5*x*y+y^2-14*x-14*y+45], [17861/333333, x^2+5*x*y-5/3*y^2-28*x-20/3*y+75], [23/429, x^2+61/54*x*y+4/9*y^2-169/18*x-109/18*y+115/6], [53635/999999, x^2+4*x*y+y^2-23*x-23*y+90], [44/819, x^2+31/13*x*y+19/52*y^2-399/26*x-567/52*y+590/13], [4885/90909, x^2+9/2*x*y+y^2-51/2*x-51/2*y+205/2], [17944/333333, x^2+8*x*y-2*y^2-37*x-4*y+70], [485/9009, x^2+5*x*y+y^2-28*x-28*y+115], [285/5291, x^2-4*x*y-1/2*y^2+14*x+43/2*y-95], [1996/37037, "degenerate conic"], [7705/142857, x^2+11/2*x*y+y^2-61/2*x-61/2*y+255/2], [1385/25641, x^2+8/5*x*y+4*y^2-9*x-24*y+20], [6005/111111, x^2+x*y+y^2-9*x-9*y+20], [54245/999999, x^2+3*x*y+y^2-19*x-19*y+70], [18115/333333, x^2+4*x*y+y^2-24*x-24*y+95], [1648/30303, x^2+23/2*x*y+y^2-59*x-49*y+220], [18145/333333, x^2+6*x*y+2*y^2-33*x-38*y+140], [491/9009, x^2+2/5*x*y+y^2-6*x-6*y+5], [7786/142857, x^2+3/5*x*y+y^2-7*x-7*y+10], [54503/999999, x^2+4/5*x*y+y^2-8*x-8*y+15], [6056/111111, x^2+x*y+y^2-9*x-9*y+20], [54506/999999, x^2+7/5*x*y+y^2-11*x-11*y+30], [18169/333333, x^2+8/5*x*y+y^2-12*x-12*y+35], [54508/999999, x^2+9/5*x*y+y^2-13*x-13*y+40], [2022/37037, x^2+10*x*y-5/4*y^2-54*x-135/4*y+200], [164/3003, x^2+49/67*x*y+19/67*y^2-549/67*x-261/67*y+830/67], [18215/333333, x^2+7*x*y+y^2-39*x-39*y+170], [493/9009, x^2+62/37*x*y+1/37*y^2-476/37*x-224/37*y+1095/37], [54745/999999, x^2+8*x*y+y^2-44*x-44*y+195], [38/693, x^2+241/64*x*y+1/16*y^2-369/16*x-249/16*y+305/4], [7835/142857, x^2+9*x*y+y^2-49*x-49*y+220], [5/91, x^2+10*x*y+y^2-54*x-54*y+245], [167/3003, x^2+1/2*x*y-1/5*y^2-15/2*x-3/10*y+13/2], [18541/333333, x^2+6/5*x*y-1/5*y^2-11*x-19/5*y+24], [502/9009, x^2+4/3*x*y-2/5*y^2-35/3*x-28/15*y+58/3], [503/9009, x^2+3*x*y-3/5*y^2-20*x-36/5*y+51], [8/143, x^2+8*x*y-4/5*y^2-45*x-144/5*y+164], [6229/111111, x^2+1/3*x*y+1/5*y^2-7*x-11/5*y+6], [56065/999999, x^2+x*y+y^2-11*x-11*y+30], [2078/37037, x^2+1/3*x*y+1/5*y^2-7*x-11/5*y+6], [6239/111111, x^2+5/2*x*y-5*y^2-27/2*x+45/2*y+25/2], [56165/999999, x^2+5+y^2-6*x-6*y], [1705/30303, x^2-x*y+y^2-x-y-20], [56365/999999, x^2-2*x*y+y^2+4*x+4*y-45], [56465/999999, x^2-3*x*y+y^2+9*x+9*y-70], [56501/999999, x^2+5+y^2-6*x-6*y], [6278/111111, x^2+1/5*x*y+y^2-7*x-7*y+10], [56503/999999, x^2+2/5*x*y+y^2-8*x-8*y+15], [8072/142857, x^2+3/5*x*y+y^2-9*x-9*y+20], [56506/999999, x^2+x*y+y^2-11*x-11*y+30], [5137/90909, x^2+6/5*x*y+y^2-12*x-12*y+35], [18836/333333, x^2+7/5*x*y+y^2-13*x-13*y+40], [56509/999999, x^2+8/5*x*y+y^2-14*x-14*y+45], [170/3003, x^2-5/3*x*y+5*y^2-x-25*y], [73/1287, x^2+38/17*x*y-43/17*y^2-252/17*x+168/17*y+235/17], [56741/999999, "degenerate conic"], [56765/999999, x^2-6*x*y+y^2+24*x+24*y-145], [2105/37037, x^2+8*x*y-2*y^2-43*x-28*y+190], [18955/333333, x^2-7*x*y+y^2+29*x+29*y-170], [56965/999999, x^2-8*x*y+y^2+34*x+34*y-195], [19024/333333, x^2+4/7*x*y+2/5*y^2-9*x-24/5*y+14], [19025/333333, x^2+x*y+y^2-12*x-12*y+35], [57175/999999, x^2+1/2*x*y+y^2-19/2*x-19/2*y+45/2], [19069/333333, x^2+4/7*x*y+2/5*y^2-9*x-24/5*y+14], [1468/25641, x^2+10/3*x*y-5/2*y^2-56/3*x+35/6*y+100/3], [57275/999999, x^2+10+y^2-7*x-7*y], [2125/37037, x^2-1/2*x*y+y^2-9/2*x-9/2*y-5/2], [5225/90909, x^2-x*y+y^2-2*x-2*y-15], [6389/111111, x^2-1/5*x*y+y^2-6*x-6*y+5], [57502/999999, x^2+10+y^2-7*x-7*y], [57503/999999, x^2+1/5*x*y+y^2-8*x-8*y+15], [19168/333333, x^2+2/5*x*y+y^2-9*x-9*y+20], [57506/999999, x^2+4/5*x*y+y^2-11*x-11*y+30], [19169/333333, x^2+x*y+y^2-12*x-12*y+35], [5228/90909, x^2+6/5*x*y+y^2-13*x-13*y+40], [57509/999999, x^2+7/5*x*y+y^2-14*x-14*y+45], [19225/333333, x^2-2*x*y+y^2+3*x+3*y-40], [40/693, x^2-10/7*x*y+5/2*y^2-2*x-25/2*y], [521/9009, x^2-169/23*x*y+191/23*y^2+492/23*x-852/23*y-515/23], [57875/999999, x^2-3*x*y+y^2+8*x+8*y-65], [58/1001, x^2-316/11*x*y+221/11*y^2+1323/11*x-567/11*y-2690/11], [19325/333333, x^2-7/2*x*y+y^2+21/2*x+21/2*y-155/2], [19361/333333, x^2+3/4*x*y+3/5*y^2-11*x-39/5*y+24], [58085/999999, x^2+x*y+y^2-13*x-13*y+40], [2155/37037, x^2+2/3*x*y+y^2-34/3*x-34/3*y+95/3], [58285/999999, x^2+1/3*x*y+y^2-29/3*x-29/3*y+70/3], [19436/333333, x^2+3/4*x*y+3/5*y^2-11*x-39/5*y+24], [19451/333333, x^2+5*x*y-5/3*y^2-28*x-20/3*y+75], [58385/999999, x^2+15+y^2-8*x-8*y], [2785/47619, x^2-1/3*x*y+y^2-19/3*x-19/3*y+20/3], [58501/999999, x^2-2/5*x*y+y^2-6*x-6*y+5], [58502/999999, x^2-1/5*x*y+y^2-7*x-7*y+10], [19501/333333, x^2+15+y^2-8*x-8*y], [58504/999999, x^2+1/5*x*y+y^2-9*x-9*y+20], [2786/47619, x^2+3/5*x*y+y^2-11*x-11*y+30], [58507/999999, x^2+4/5*x*y+y^2-12*x-12*y+35], [58508/999999, x^2+x*y+y^2-13*x-13*y+40], [197/3367, x^2+6/5*x*y+y^2-14*x-14*y+45], [5335/90909, x^2-x*y+y^2-3*x-3*y-10], [19595/333333, x^2-4/3*x*y+y^2-4/3*x-4/3*y-55/3], [530/9009, x^2-5/4*x*y+5/3*y^2-3*x-25/3*y], [59/1001, x^2-38/17*x*y+41/17*y^2+18/17*x-198/17*y-35/17], [58985/999999, x^2-2*x*y+y^2+2*x+2*y-35], [2185/37037, x^2-2*x*y+4/3*y^2+x-2/3*y-30], [938/15873, x^2+8/9*x*y+4/5*y^2-13*x-56/5*y+36], [59095/999999, x^2+x*y+y^2-14*x-14*y+45], [59195/999999, x^2+3/4*x*y+y^2-51/4*x-51/4*y+155/4], [19765/333333, x^2+1/2*x*y+y^2-23/2*x-23/2*y+65/2], [8485/142857, x^2+1/4*x*y+y^2-41/4*x-41/4*y+105/4], [943/15873, x^2+8/9*x*y+4/5*y^2-13*x-56/5*y+36], [2202/37037, x^2+10*x*y-5/4*y^2-54*x-135/4*y+200], [59495/999999, x^2+20+y^2-9*x-9*y], [4577/76923, x^2-3/5*x*y+y^2-6*x-6*y+5], [19834/333333, x^2-2/5*x*y+y^2-7*x-7*y+10], [59503/999999, x^2-1/5*x*y+y^2-8*x-8*y+15], [59504/999999, x^2+20+y^2-9*x-9*y], [59506/999999, x^2+2/5*x*y+y^2-11*x-11*y+30], [8501/142857, x^2+3/5*x*y+y^2-12*x-12*y+35], [2204/37037, x^2+4/5*x*y+y^2-13*x-13*y+40], [59509/999999, x^2+x*y+y^2-14*x-14*y+45], [59695/999999, x^2-1/2*x*y+y^2-13/2*x-13/2*y+15/2], [59795/999999, x^2-3/4*x*y+y^2-21/4*x-21/4*y+5/4], [605/10101, x^2-x*y+y^2-4*x-4*y-5], [60/1001, x^2-10/9*x*y+5/4*y^2-4*x-25/4*y], [6665/111111, x^2-3/2*x*y+3/4*y^2-1/2*x+3/4*y-45/2], [60121/999999, x^2+5*x*y+y^2-7*x-7*y+6], [60131/999999, x^2+4*x*y+y^2-7*x-7*y+6], [20047/333333, x^2+3*x*y+y^2-7*x-7*y+6], [60161/999999, x^2+x*y+y^2-7*x-7*y+6], [955/15873, x^2+5/3*x*y+5*y^2-11*x-35*y+30], [20057/333333, x^2+6+y^2-7*x-7*y], [5471/90909, x^2-x*y+y^2-7*x-7*y+6], [60191/999999, x^2-2*x*y+y^2-7*x-7*y+6], [60212/999999, x^2+7/2*x*y+y^2-8*x-8*y+12], [60232/999999, x^2+5/2*x*y+y^2-8*x-8*y+12], [20084/333333, x^2+3/2*x*y+y^2-8*x-8*y+12], [60254/999999, "degenerate conic"], [60262/999999, x^2+x*y+y^2-8*x-8*y+12], [2232/37037, x^2+4/3*x*y+2*y^2-10*x-16*y+24], [60272/999999, x^2+1/2*x*y+y^2-8*x-8*y+12], [6698/111111, x^2+12+y^2-8*x-8*y], [60292/999999, x^2-1/2*x*y+y^2-8*x-8*y+12], [5483/90909, x^2+8/3*x*y+y^2-9*x-9*y+18], [60323/999999, x^2+7/3*x*y+y^2-9*x-9*y+18], [60343/999999, x^2+5/3*x*y+y^2-9*x-9*y+18], [60353/999999, x^2+4/3*x*y+y^2-9*x-9*y+18], [6707/111111, x^2+x*y+y^2-9*x-9*y+18], [60373/999999, x^2+2/3*x*y+y^2-9*x-9*y+18], [60383/999999, x^2+1/3*x*y+y^2-9*x-9*y+18], [20131/333333, x^2+18+y^2-9*x-9*y], [20138/333333, x^2+9/4*x*y+y^2-10*x-10*y+24], [5494/90909, x^2+7/4*x*y+y^2-10*x-10*y+24], [60454/999999, x^2+5/4*x*y+y^2-10*x-10*y+24], 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x^2+2/5*x*y-1/6*y^2-42/5*x-7/30*y+37/5], [35569/333333, x^2+2/7*x*y+1/6*y^2-8*x-13/6*y+7], [35572/333333, x^2+12/5*x*y-6*y^2-77/5*x+168/5*y+72/5], [106760/999999, x^2+6+y^2-7*x-7*y], [74/693, x^2+109/68*x*y-71/34*y^2-245/17*x+175/17*y+228/17], [2740/25641, x^2-1/6*x*y+y^2-7*x-7*y+6], [107/1001, x^2-244/9*x*y+103/3*y^2+113*x-187*y-114], [15280/142857, x^2-1/3*x*y+y^2-7*x-7*y+6], [106963/999999, x^2-32/15*x*y+2*y^2+19/5*x-56/5*y-24/5], [35660/333333, x^2-7/27*x*y+4/3*y^2-9*x-28/3*y+8], [107012/999999, x^2+6*x*y+y^2-8*x-8*y+7], [35671/333333, x^2+5*x*y+y^2-8*x-8*y+7], [107014/999999, x^2+4*x*y+y^2-8*x-8*y+7], [107015/999999, x^2+3*x*y+y^2-8*x-8*y+7], [107017/999999, x^2+x*y+y^2-8*x-8*y+7], [107018/999999, x^2+7+y^2-8*x-8*y], [1081/10101, x^2-x*y+y^2-8*x-8*y+7], [35689/333333, x^2+2/7*x*y+1/6*y^2-8*x-13/6*y+7], [15310/142857, x^2+x*y+y^2-8*x-8*y+7], [35726/333333, x^2+7/3*x*y-7*y^2-52/3*x+140/3*y+49/3], [107270/999999, x^2+6/7*x*y+y^2-8*x-8*y+7], [11930/111111, x^2+5/7*x*y+y^2-8*x-8*y+7], [9770/90909, x^2+4/7*x*y+y^2-8*x-8*y+7], [107570/999999, x^2+3/7*x*y+y^2-8*x-8*y+7], [970/9009, x^2+2/7*x*y+y^2-8*x-8*y+7], [971/9009, x^2+1/3*x*y-1/7*y^2-28/3*x-4/21*y+25/3], [35936/333333, x^2+1/4*x*y+1/7*y^2-9*x-15/7*y+8], [35939/333333, x^2+7/3*x*y-7*y^2-52/3*x+140/3*y+49/3], [15410/142857, x^2+7+y^2-8*x-8*y], [108/1001, x^2+74/59*x*y-109/59*y^2-864/59*x+648/59*y+805/59], [35990/333333, x^2-1/7*x*y+y^2-8*x-8*y+7], [36004/333333, x^2+7*x*y+y^2-9*x-9*y+8], [108013/999999, x^2+6*x*y+y^2-9*x-9*y+8], [108014/999999, x^2+5*x*y+y^2-9*x-9*y+8], [36005/333333, x^2+4*x*y+y^2-9*x-9*y+8], [108016/999999, x^2+3*x*y+y^2-9*x-9*y+8], [12002/111111, x^2+x*y+y^2-9*x-9*y+8], [108019/999999, x^2+8+y^2-9*x-9*y], [36026/333333, x^2+1/4*x*y+1/7*y^2-9*x-15/7*y+8], [12020/111111, x^2+x*y+y^2-9*x-9*y+8], [4007/37037, x^2+16/7*x*y-8*y^2-135/7*x+432/7*y+128/7], [108280/999999, x^2+7/8*x*y+y^2-9*x-9*y+8], [108380/999999, x^2+3/4*x*y+y^2-9*x-9*y+8], [108434/999999, x^2-7/6*x*y-4/3*y^2-19/3*x+10*y+16/3], [36160/333333, x^2+5/8*x*y+y^2-9*x-9*y+8], [108580/999999, x^2+1/2*x*y+y^2-9*x-9*y+8], [760/6993, x^2+3/8*x*y+y^2-9*x-9*y+8], [140/1287, x^2+1/4*x*y+y^2-9*x-9*y+8], [109/1001, x^2+2/7*x*y-1/8*y^2-72/7*x-9/56*y+65/7], [12101/111111, x^2+2/9*x*y+1/8*y^2-10*x-17/8*y+9], [4034/37037, x^2+16/7*x*y-8*y^2-135/7*x+432/7*y+128/7], [36320/333333, x^2-7/36*x*y+3/4*y^2-7*x-27/4*y+6], [108980/999999, x^2+8+y^2-9*x-9*y], [36328/333333, x^2-9/7*x*y+2*y^2+9/7*x-110/7*y-16/7], [109012/999999, x^2+8*x*y+y^2-10*x-10*y+9], [109013/999999, x^2+7*x*y+y^2-10*x-10*y+9], [36338/333333, x^2+6*x*y+y^2-10*x-10*y+9], [109015/999999, x^2+5*x*y+y^2-10*x-10*y+9], [109016/999999, x^2+4*x*y+y^2-10*x-10*y+9], [12113/111111, x^2+3*x*y+y^2-10*x-10*y+9], [109019/999999, x^2+x*y+y^2-10*x-10*y+9], [12121/111111, x^2+2/9*x*y+1/8*y^2-10*x-17/8*y+9], [109190/999999, x^2+x*y+y^2-10*x-10*y+9], [36430/333333, x^2+8/9*x*y+y^2-10*x-10*y+9], [109390/999999, x^2+7/9*x*y+y^2-10*x-10*y+9], [109490/999999, x^2+2/3*x*y+y^2-10*x-10*y+9], [2810/25641, x^2+5/9*x*y+y^2-10*x-10*y+9], [15670/142857, x^2+4/9*x*y+y^2-10*x-10*y+9], [109790/999999, x^2+1/3*x*y+y^2-10*x-10*y+9], [10/91, x^2+2/9*x*y+y^2-10*x-10*y+9], [331/3003, x^2+2*x*y-1/2*y^2-6*x-3/2*y+5], [142/1287, x^2+x*y-1/3*y^2-6*x-2/3*y+5], [36812/333333, x^2+6/5*x*y-1/5*y^2-41/5*x-y+36/5], [995/9009, x^2+2/3*x*y-1/4*y^2-20/3*x-5/12*y+17/3], [1754/15873, x^2+3*x*y+1/2*y^2-6*x-7/2*y+5], [332/3003, x^2+1/2*x*y-1/5*y^2-15/2*x-3/10*y+13/2], [997/9009, x^2+2/5*x*y-1/6*y^2-42/5*x-7/30*y+37/5], [998/9009, x^2+1/3*x*y-1/7*y^2-28/3*x-4/21*y+25/3], [111/1001, x^2+2/7*x*y-1/8*y^2-72/7*x-9/56*y+65/7], [4150/37037, x^2+6*x*y+2*y^2-7*x-12*y+10], [92/819, x^2-x*y+y^2-2*x-2*y+3], [1013/9009, x^2-2/3*x*y+1/2*y^2-10/3*x-5/6*y+10/3], [112454/999999, x^2-2/3*x*y+2/3*y^2-13/3*x-4/3*y+14/3], [26/231, x^2-1/2*x*y+1/3*y^2-9/2*x-1/2*y+25/6], [145/1287, x^2-2/5*x*y+1/4*y^2-28/5*x-7/20*y+51/10], [112748/999999, x^2+2/7*x*y+1/7*y^2-65/7*x-5/7*y+60/7], [1016/9009, x^2-1/3*x*y+1/5*y^2-20/3*x-4/15*y+91/15], [113/1001, x^2-2/7*x*y+1/6*y^2-54/7*x-3/14*y+148/21], [1018/9009, x^2-1/4*x*y+1/7*y^2-35/4*x-5/28*y+225/28], [340/3003, x^2-4*x*y-2*y^2+3*x+12*y-10], [146/1287, x^2-4/3*x*y+2*y^2-5/3*x-20/3*y+20/3], [31/273, x^2-x*y+y^2-3*x-3*y+5], [1024/9009, x^2-4/5*x*y+2/3*y^2-21/5*x-28/15*y+26/5], [1025/9009, x^2-2/3*x*y+1/2*y^2-16/3*x-4/3*y+35/6], [113797/999999, x^2-2/3*x*y+2/3*y^2-22/3*x-2*y+25/3], [114/1001, x^2-4/7*x*y+2/5*y^2-45/7*x-36/35*y+232/35], [79/693, x^2-1/2*x*y+1/3*y^2-15/2*x-5/6*y+15/2], [114206/999999, "degenerate conic"], [114230/999999, "degenerate conic"], [1030/9009, x^2-3*x*y-3*y^2+2*x+18*y-15], [114542/999999, x^2-x*y+3/2*y^2-2*x-13/2*y+7], [344/3003, x^2-3/2*x*y+3*y^2-3/2*x-27/2*y+25/2], [1033/9009, x^2-6/5*x*y+3/2*y^2-14/5*x-63/10*y+39/5], [94/819, x^2-x*y+y^2-4*x-4*y+7], [115/1001, x^2-6/7*x*y+3/4*y^2-36/7*x-81/28*y+50/7], [148/1287, x^2-3/4*x*y+3/5*y^2-25/4*x-9/4*y+153/20], [80/693, x^2-8/3*x*y-4*y^2+5/3*x+80/3*y-68/3], [1042/9009, x^2-8/5*x*y+4*y^2-7/5*x-112/5*y+102/5], [115727/999999, x^2+1/6*x*y+1/3*y^2-49/6*x-13/6*y+53/6], [149/1287, x^2-4/3*x*y+2*y^2-8/3*x-32/3*y+35/3], [116/1001, x^2-8/7*x*y+4/3*y^2-27/7*x-48/7*y+200/21], [95/819, x^2-x*y+y^2-5*x-5*y+9], [5540/47619, x^2-6*x*y-5*y^2+5*x+41*y-36], [50/429, x^2-5/2*x*y-5*y^2+3/2*x+75/2*y-65/2], [1052/9009, x^2-5/3*x*y+5*y^2-4/3*x-100/3*y+91/3], [9/77, x^2-10/7*x*y+5/2*y^2-18/7*x-225/14*y+116/7], [1054/9009, x^2-5/4*x*y+5/3*y^2-15/4*x-125/12*y+51/4], [117275/999999, x^2+1/2*x*y+3*y^2-13/2*x-49/2*y+53/2], [1060/9009, x^2-12/5*x*y-6*y^2+7/5*x+252/5*y-222/5], [118/1001, x^2-12/7*x*y+6*y^2-9/7*x-324/7*y+296/7], [117958/999999, "degenerate conic"], [117973/999999, x^2-x*y+3/2*y^2-3*x-11*y+25/2], [1063/9009, x^2-3/2*x*y+3*y^2-5/2*x-45/2*y+45/2], [39443/333333, "degenerate conic"], [118472/999999, x^2+2*x*y+7*y^2-5*x-65*y+60], [1070/9009, x^2-7/3*x*y-7*y^2+4/3*x+196/3*y-175/3], [1072/9009, x^2-7/4*x*y+7*y^2-5/4*x-245/4*y+225/4], [120/1001, x^2-16/7*x*y-8*y^2+9/7*x+576/7*y-520/7], [1082/9009, x^2+x*y+y^2-3*x-3*y+2], [13348/111111, x^2-2*x*y-1/2*y^2-4+9/2*y], [40070/333333, x^2+x*y+y^2-3*x-3*y+2], [361/3003, x^2+4*x*y+y^2-9*x-9*y+14], [120214/999999, x^2+5*x*y+y^2-11*x-11*y+18], [120215/999999, x^2+6*x*y+y^2-13*x-13*y+22], [40072/333333, x^2+7*x*y+y^2-15*x-15*y+26], [120217/999999, x^2+8*x*y+y^2-17*x-17*y+30], [17174/142857, x^2+9*x*y+y^2-19*x-19*y+34], [3643/30303, x^2+10*x*y+y^2-21*x-21*y+38], [1084/9009, x^2+13/8*x*y+1/4*y^2-29/4*x-17/4*y+21/2], [4463/37037, x^2+6*x*y+2*y^2-7*x-12*y+10], [120502/999999, x^2+3*x*y+y^2-7*x-7*y+10], [362/3003, x^2+49/67*x*y+19/67*y^2-549/67*x-261/67*y+830/67], [120602/999999, x^2+7/2*x*y+y^2-8*x-8*y+12], [1087/9009, x^2+76/131*x*y+41/131*y^2-1183/131*x-553/131*y+1842/131], [40234/333333, x^2+4*x*y+y^2-9*x-9*y+14], [1088/9009, x^2+109/226*x*y+38/113*y^2-1122/113*x-522/113*y+1792/113], [10982/90909, x^2+9/2*x*y+y^2-10*x-10*y+16], [11/91, 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x^2+6*x*y+y^2-29*x-29*y+106], [437345/999999, x^2+3*x*y+y^2-20*x-20*y+79], [437347/999999, x^2+x*y+y^2-14*x-14*y+61], [437348/999999, x^2+52+y^2-11*x-11*y], [13253/30303, x^2-x*y+y^2-8*x-8*y+43], [20827/47619, x^2+1/2*x*y+1/3*y^2-25/2*x-35/6*y+85/2], [145801/333333, x^2-6*x*y-3/4*y^2+14*x+105/4*y-72], [13255/30303, x^2+29/3*x*y+y^2-152/3*x-128/3*y+569/3], [563/1287, x^2+73/3*x*y+9*y^2-316/3*x-508/3*y+1621/3], [437473/999999, x^2+x*y+y^2-14*x-14*y+61], [145826/333333, x^2+8/3*x*y-4*y^2-77/3*x+88/3*y+8/3], [437573/999999, x^2+3/4*x*y+y^2-53/4*x-53/4*y+235/4], [6947/15873, x^2-6*x*y-5*y^2+23*x+71*y-204], [3943/9009, x^2+1/2*x*y+y^2-25/2*x-25/2*y+113/2], [145898/333333, x^2+6/5*x*y-1/5*y^2-89/5*x-17/5*y+264/5], [3944/9009, x^2+2/3*x*y-1/4*y^2-44/3*x-11/12*y+119/3], [145946/333333, x^2+2/5*x*y+1/4*y^2-66/5*x-99/20*y+223/5], [145949/333333, x^2+8/3*x*y-4*y^2-77/3*x+88/3*y+8/3], [437873/999999, x^2+52+y^2-11*x-11*y], [1315/3003, x^2+49/13*x*y-47/13*y^2-450/13*x+270/13*y+617/13], [145991/333333, x^2-1/4*x*y+y^2-41/4*x-41/4*y+199/4], [438083/999999, x^2+9/5*x*y+y^2-87/5*x-87/5*y+376/5], [16229/37037, x^2+8/5*x*y+y^2-84/5*x-84/5*y+367/5], [438283/999999, x^2+7/5*x*y+y^2-81/5*x-81/5*y+358/5], [62620/142857, x^2+9*x*y+y^2-39*x-39*y+140], [438341/999999, x^2+8*x*y+y^2-36*x-36*y+131], [146114/333333, x^2+7*x*y+y^2-33*x-33*y+122], [16235/37037, x^2+4*x*y+y^2-24*x-24*y+95], [438346/999999, x^2+3*x*y+y^2-21*x-21*y+86], [146116/333333, x^2+x*y+y^2-15*x-15*y+68], [438349/999999, x^2+59+y^2-12*x-12*y], [6958/15873, x^2+3*x*y+1/2*y^2-21*x-31/2*y+74], [146126/333333, x^2+2/5*x*y+1/4*y^2-66/5*x-99/20*y+223/5], [13285/30303, x^2+23/2*x*y+y^2-59*x-49*y+220], [3950/9009, x^2+241/4*x*y+16*y^2-249*x-369*y+1220], [39860/90909, "degenerate conic"], [146161/333333, x^2+x*y+y^2-15*x-15*y+68], [48721/111111, x^2+5/2*x*y-5*y^2-27*x+45*y-28], [439/1001, x^2+62*x*y+37*y^2-288*x-612*y+1895], [438583/999999, x^2+4/5*x*y+y^2-72/5*x-72/5*y+331/5], [438595/999999, x^2+5*x*y-3*y^2-42*x+14*y+77], [304/693, x^2+49/19*x*y+67/19*y^2-435/19*x-915/19*y+2990/19], [62669/142857, x^2+3/5*x*y+y^2-69/5*x-69/5*y+322/5], [3953/9009, x^2+2/5*x*y+y^2-66/5*x-66/5*y+313/5], [1318/3003, x^2+1/2*x*y-1/5*y^2-15*x-3/5*y+208/5], [16257/37037, x^2+1/3*x*y+1/5*y^2-14*x-22/5*y+237/5], [48772/111111, x^2+5/2*x*y-5*y^2-27*x+45*y-28], [438983/999999, x^2+59+y^2-12*x-12*y], [439003/999999, x^2+5/3*x*y-1/2*y^2-9*x+3/2*y], [439093/999999, x^2+5/3*x*y+y^2-18*x-18*y+81], [62729/142857, x^2+3*x*y-1/2*y^2-13*x-5/2*y+12], [439193/999999, x^2+3/2*x*y+y^2-35/2*x-35/2*y+159/2], [146431/333333, x^2+4/3*x*y+y^2-17*x-17*y+78], [39940/90909, x^2+10*x*y+y^2-43*x-43*y+156], [20921/47619, x^2+9*x*y+y^2-40*x-40*y+147], [439342/999999, x^2+8*x*y+y^2-37*x-37*y+138], [439345/999999, x^2+5*x*y+y^2-28*x-28*y+111], [439346/999999, x^2+4*x*y+y^2-25*x-25*y+102], [146449/333333, x^2+3*x*y+y^2-22*x-22*y+93], [439349/999999, x^2+x*y+y^2-16*x-16*y+75], [48821/111111, x^2+1/3*x*y+1/5*y^2-14*x-22/5*y+237/5], [439493/999999, x^2+x*y+y^2-16*x-16*y+75], [40/91, x^2-91/3*x*y-51/4*y^2+255/2*x+1005/4*y-801], [1903/4329, x^2+5/6*x*y+y^2-31/2*x-31/2*y+147/2], [3961/9009, x^2+63/2*x*y+26*y^2-335/2*x-835/2*y+2589/2], [439693/999999, x^2+2/3*x*y+y^2-15*x-15*y+72], [566/1287, x^2+76/41*x*y+131/41*y^2-869/41*x-1859/41*y+6306/41], [439793/999999, x^2+1/2*x*y+y^2-29/2*x-29/2*y+141/2], [1321/3003, x^2+1/3*x*y+y^2-14*x-14*y+69], [305/693, x^2-8/3*x*y-4*y^2+5/3*x+80/3*y-68/3], [1322/3003, x^2-4*x*y-2*y^2+6*x+24*y-40], [3967/9009, x^2-8*x*y-4/3*y^2+21*x+112/3*y-100], [63/143, x^2+8*x*y-4/5*y^2-45*x-144/5*y+164], [3973/9009, x^2-3/2*x*y+3*y^2-x-9*y], [441013/999999, x^2-x*y+3/2*y^2-3*x-7/2*y+2], [1325/3003, x^2-3*x*y-3*y^2+3*x+27*y-40], [441325/999999, "degenerate conic"], [568/1287, x^2-6*x*y-3/2*y^2+14*x+63/2*y-78], [34/77, x^2+6*x*y-3/4*y^2-36*x-81/4*y+125], [3979/9009, x^2+3*x*y-3/5*y^2-25*x-9*y+408/5], [362/819, x^2-x*y+y^2-2*x-2*y], [569/1287, x^2-4/3*x*y+2*y^2-5/3*x-20/3*y+20/3], [3985/9009, x^2-4*x*y-2*y^2+7*x+28*y-60], [443/1001, x^2+4*x*y-2/3*y^2-27*x-12*y+260/3], [3988/9009, x^2+2*x*y-1/2*y^2-20*x-5*y+60], [3989/9009, x^2+4/3*x*y-2/5*y^2-55/3*x-44/15*y+812/15], [307/693, x^2-1/2*x*y+1/3*y^2-3*x-1/3*y], [443101/999999, x^2-2/3*x*y+2/3*y^2-7/3*x-2*y+4/3], [3992/9009, x^2-2/3*x*y+1/2*y^2-10/3*x-5/6*y+10/3], [121/273, x^2-x*y+y^2-3*x-3*y+8], [147835/333333, x^2+6*x*y+2*y^2-33*x-38*y+140], [444/1001, x^2+2*x*y-1/2*y^2-18*x-9/2*y+50], [571/1287, x^2+x*y-1/3*y^2-15*x-5/3*y+40], [147923/333333, x^2+6/5*x*y-1/5*y^2-89/5*x-17/5*y+264/5], [3998/9009, x^2+2/3*x*y-1/4*y^2-44/3*x-11/12*y+119/3], [7045/15873, x^2+3*x*y+1/2*y^2-21*x-31/2*y+74], [1333/3003, x^2+1/2*x*y-1/5*y^2-15*x-3/5*y+208/5], [21193/47619, x^2+3*x*y+1/2*y^2-19*x-33/2*y+70], [4010/9009, x^2+2/3*x*y-1/4*y^2-20/3*x-5/12*y+17/3], [191/429, x^2+x*y-1/3*y^2-9*x-y+40/3], [4012/9009, x^2+2*x*y-1/2*y^2-14*x-7/2*y+30], [49487/111111, x^2+6*x*y+2*y^2-31*x-42*y+148], [365/819, 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x^2-8/3*x*y-4*y^2+7/3*x+112/3*y-170/3], [4967/9009, x^2-4*x*y-2*y^2+8*x+32*y-75], [552/1001, x^2-8*x*y-4/3*y^2+27*x+48*y-500/3], [4973/9009, x^2-6/5*x*y+3/2*y^2-2*x-9/2*y], [1658/3003, x^2-3/2*x*y+3*y^2-3/2*x-27/2*y+25/2], [552124/999999, x^2-x*y+3/2*y^2-4*x-11/2*y+10], [4976/9009, x^2-3*x*y-3*y^2+4*x+36*y-75], [552436/999999, "degenerate conic"], [79/143, x^2-6*x*y-3/2*y^2+18*x+81/2*y-130], [552460/999999, "degenerate conic"], [383/693, x^2+6*x*y-3/4*y^2-44*x-99/4*y+375/2], [4982/9009, x^2-4/5*x*y+2/3*y^2-3*x-4/3*y], [151/273, x^2-x*y+y^2-3*x-3*y+5], [712/1287, x^2-4/3*x*y+2*y^2-7/3*x-28/3*y+50/3], [554/1001, x^2-4*x*y-2*y^2+9*x+36*y-100], [4988/9009, x^2+4*x*y-2/3*y^2-33*x-44/3*y+130], [1663/3003, x^2+2*x*y-1/2*y^2-24*x-6*y+175/2], [713/1287, x^2-2/5*x*y+1/4*y^2-4*x-1/4*y], [128/231, x^2-1/2*x*y+1/3*y^2-9/2*x-1/2*y+25/6], [554212/999999, x^2-2/3*x*y+2/3*y^2-11/3*x-8/3*y+20/3], [4993/9009, x^2-2/3*x*y+1/2*y^2-14/3*x-7/6*y+25/3], [454/819, x^2-x*y+y^2-4*x-4*y+15], [61624/111111, x^2+6*x*y+2*y^2-41*x-48*y+220], [4997/9009, x^2+2*x*y-1/2*y^2-22*x-11/2*y+75], [238/429, x^2+x*y-1/3*y^2-18*x-2*y+175/3], [4999/9009, x^2+2/3*x*y-1/4*y^2-52/3*x-13/12*y+170/3], [26426/47619, x^2+3*x*y+1/2*y^2-26*x-39/2*y+115], [1670/3003, x^2+1/2*x*y-1/5*y^2-15/2*x-3/10*y+13/2], [8828/15873, x^2+3*x*y+1/2*y^2-24*x-41/2*y+110], [5011/9009, x^2+2/3*x*y-1/4*y^2-28/3*x-7/12*y+85/6], [185410/333333, x^2+6/5*x*y-1/5*y^2-11*x-19/5*y+24], [716/1287, x^2+x*y-1/3*y^2-12*x-4/3*y+25], [557/1001, x^2+2*x*y-1/2*y^2-18*x-9/2*y+50], [185498/333333, x^2+6*x*y+2*y^2-39*x-52*y+230], [152/273, x^2-x*y+y^2-6*x-6*y+35], [5017/9009, x^2-2/3*x*y+1/2*y^2-26/3*x-13/6*y+100/3], [556898/999999, x^2-2/3*x*y+2/3*y^2-29/3*x-4*y+130/3], [386/693, x^2-1/2*x*y+1/3*y^2-21/2*x-7/6*y+75/2], [5020/9009, x^2+4/3*x*y-2/5*y^2-35/3*x-28/15*y+58/3], [5021/9009, x^2+2*x*y-1/2*y^2-16*x-4*y+75/2], [558/1001, x^2+4*x*y-2/3*y^2-27*x-12*y+260/3], [5024/9009, x^2-4*x*y-2*y^2+11*x+44*y-150], [718/1287, x^2-4/3*x*y+2*y^2-13/3*x-52/3*y+200/3], [457/819, x^2-x*y+y^2-7*x-7*y+45], [5030/9009, x^2+3*x*y-3/5*y^2-20*x-36/5*y+51], [43/77, x^2+6*x*y-3/4*y^2-36*x-81/4*y+125], [719/1287, x^2-6*x*y-3/2*y^2+22*x+99/2*y-195], [558674/999999, "degenerate conic"], [1678/3003, x^2-3*x*y-3*y^2+6*x+54*y-175], [558986/999999, x^2-x*y+3/2*y^2-6*x-29/2*y+65], [5036/9009, x^2-3/2*x*y+3*y^2-7/2*x-63/2*y+225/2], [80/143, x^2+8*x*y-4/5*y^2-45*x-144/5*y+164], [5042/9009, x^2-8*x*y-4/3*y^2+33*x+176/3*y-250], [1681/3003, x^2-4*x*y-2*y^2+12*x+48*y-175], [388/693, x^2-8/3*x*y-4*y^2+13/3*x+208/3*y-680/3], [1682/3003, x^2+1/3*x*y+y^2-7*x-7*y+6], [560206/999999, x^2+1/2*x*y+y^2-8*x-8*y+12], [721/1287, x^2+76/41*x*y+131/41*y^2-553/41*x-1183/41*y+1842/41], [560306/999999, x^2+2/3*x*y+y^2-9*x-9*y+18], [5048/9009, x^2+63/2*x*y+26*y^2-134*x-334*y+768], [2426/4329, x^2+5/6*x*y+y^2-10*x-10*y+24], [51/91, x^2-91/3*x*y-51/4*y^2+255/2*x+1005/4*y-801], [560506/999999, x^2+x*y+y^2-11*x-11*y+30], [62290/111111, x^2+1/3*x*y+1/5*y^2-7*x-11/5*y+6], [560650/999999, x^2+x*y+y^2-11*x-11*y+30], [186884/333333, x^2+3*x*y+y^2-23*x-23*y+102], [560653/999999, x^2+4*x*y+y^2-29*x-29*y+138], [560654/999999, x^2+5*x*y+y^2-35*x-35*y+174], [560657/999999, x^2+8*x*y+y^2-53*x-53*y+282], [26698/47619, x^2+9*x*y+y^2-59*x-59*y+318], [50969/90909, x^2+10*x*y+y^2-65*x-65*y+354], [186902/333333, x^2+4/3*x*y+y^2-13*x-13*y+42], [560806/999999, x^2+3/2*x*y+y^2-14*x-14*y+48], [80128/142857, x^2+3*x*y-1/2*y^2-32*x-31/2*y+156], [560906/999999, x^2+5/3*x*y+y^2-15*x-15*y+54], [560996/999999, x^2+5/3*x*y-1/2*y^2-24*x-15/2*y+108], [561016/999999, x^2+5+y^2-6*x-6*y], [62339/111111, x^2+5/2*x*y-5*y^2-27/2*x+45/2*y+25/2], [20780/37037, x^2+1/3*x*y+1/5*y^2-7*x-11/5*y+6], [1685/3003, x^2+1/2*x*y-1/5*y^2-15/2*x-3/10*y+13/2], [5056/9009, x^2+2/5*x*y+y^2-42/5*x-42/5*y+97/5], [80188/142857, x^2+3/5*x*y+y^2-48/5*x-48/5*y+133/5], [389/693, x^2+49/19*x*y+67/19*y^2-348/19*x-732/19*y+1775/19], [561404/999999, x^2+5*x*y-3*y^2-21*x-5*y+68], [561416/999999, x^2+4/5*x*y+y^2-54/5*x-54/5*y+169/5], [562/1001, x^2+62*x*y+37*y^2-288*x-612*y+1895], [62390/111111, x^2+5/2*x*y-5*y^2-27/2*x+45/2*y+25/2], [187172/333333, x^2+x*y+y^2-12*x-12*y+41], [51049/90909, "degenerate conic"], [5059/9009, x^2+241/4*x*y+16*y^2-1245/4*x-1845/4*y+7661/4], [17018/30303, x^2+23/2*x*y+y^2-125/2*x-145/2*y+683/2], [187207/333333, x^2+2/5*x*y+1/4*y^2-42/5*x-63/20*y+149/10], [8915/15873, x^2+3*x*y+1/2*y^2-24*x-41/2*y+110], [561650/999999, x^2+5+y^2-6*x-6*y], [187217/333333, x^2+x*y+y^2-12*x-12*y+41], [561653/999999, x^2+3*x*y+y^2-24*x-24*y+113], [20802/37037, x^2+4*x*y+y^2-30*x-30*y+149], [187219/333333, x^2+7*x*y+y^2-48*x-48*y+257], [561658/999999, x^2+8*x*y+y^2-54*x-54*y+293], [80237/142857, x^2+9*x*y+y^2-60*x-60*y+329], [561716/999999, x^2+7/5*x*y+y^2-72/5*x-72/5*y+277/5], [20808/37037, x^2+8/5*x*y+y^2-78/5*x-78/5*y+313/5], [561916/999999, x^2+9/5*x*y+y^2-84/5*x-84/5*y+349/5], [187342/333333, x^2-1/4*x*y+y^2-11/2*x-11/2*y+7], [1688/3003, x^2+49/13*x*y-47/13*y^2-225/13*x+135/13*y+212/13], [562126/999999, x^2+16+y^2-7*x-7*y], [187384/333333, x^2+8/3*x*y-4*y^2-49/3*x+56/3*y+26/3], [187387/333333, x^2+2/5*x*y+1/4*y^2-42/5*x-63/20*y+149/10], [5065/9009, x^2+2/3*x*y-1/4*y^2-28/3*x-7/12*y+85/6], [187435/333333, x^2+6/5*x*y-1/5*y^2-11*x-19/5*y+24], [5066/9009, x^2+1/2*x*y+y^2-10*x-10*y+34], [8926/15873, x^2-6*x*y-5*y^2+13*x+73*y-168], [562426/999999, x^2+3/4*x*y+y^2-23/2*x-23/2*y+43], [187507/333333, x^2+8/3*x*y-4*y^2-49/3*x+56/3*y+26/3], [562526/999999, x^2+x*y+y^2-13*x-13*y+52], [724/1287, x^2+73/3*x*y+9*y^2-395/3*x-635/3*y+2548/3], [17048/30303, x^2+29/3*x*y+y^2-163/3*x-187/3*y+884/3], [187532/333333, x^2-6*x*y-3/4*y^2+22*x+165/4*y-351/2], [26792/47619, x^2+1/2*x*y+1/3*y^2-10*x-14/3*y+26], [17050/30303, x^2-x*y+y^2-x-y-20], [562651/999999, x^2+16+y^2-7*x-7*y], [562652/999999, x^2+x*y+y^2-13*x-13*y+52], [562654/999999, x^2+3*x*y+y^2-25*x-25*y+124], [562657/999999, x^2+6*x*y+y^2-43*x-43*y+232], [562658/999999, x^2+7*x*y+y^2-49*x-49*y+268], [5069/9009, x^2+8*x*y+y^2-55*x-55*y+304], [562726/999999, x^2+3/2*x*y+y^2-16*x-16*y+70], [51166/90909, x^2+7/4*x*y+y^2-35/2*x-35/2*y+79], [5687/10101, x^2-4/3*x*y+y^2-3*x-y], [563036/999999, x^2-2/3*x*y+y^2-4*x-4*y+3], [1691/3003, x^2-61/24*x*y+9/4*y^2+13/8*x-47/8*y-21/8], [26816/47619, x^2-1/3*x*y+y^2-6*x-6*y+15], [5074/9009, x^2+14*x*y-11*y^2-56*x+28*y+63], [563236/999999, x^2+27+y^2-8*x-8*y], [187751/333333, x^2+3*x*y-3*y^2-20*x+12*y+21], [26822/47619, x^2+1/2*x*y+1/3*y^2-10*x-14/3*y+26], [725/1287, x^2+x*y-1/3*y^2-12*x-4/3*y+25], [564/1001, x^2+2/3*x*y+y^2-12*x-12*y+51], [187844/333333, x^2+3*x*y-3*y^2-20*x+12*y+21], [563536/999999, x^2+x*y+y^2-14*x-14*y+63], [5077/9009, x^2+13/2*x*y+4*y^2-85/2*x-145/2*y+567/2], [17078/30303, x^2+8*x*y+y^2-47*x-53*y+252], [187862/333333, x^2-4*x*y-2/3*y^2+11*x+88/3*y-112], [62627/111111, x^2+2/3*x*y+1/2*y^2-12*x-15/2*y+42], [563650/999999, x^2-2*x*y+y^2+4*x+4*y-45], [51241/90909, x^2-x*y+y^2-2*x-2*y-9], [20876/37037, 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[771539/999999, "degenerate conic"], [771613/999999, x^2+1/2*x*y+3*y^2-27/2*x-55/2*y+133/2], [535/693, x^2-10/7*x*y+5/2*y^2-2*x-25/2*y], [6956/9009, x^2-5/3*x*y+5*y^2-4/3*x-100/3*y+91/3], [994/1287, x^2-5/2*x*y-5*y^2+5/2*x+125/2*y-273/2], [6959/9009, x^2-10/3*x*y-5/2*y^2+22/3*x+275/6*y-406/3], [36788/47619, x^2-6*x*y-5*y^2+27*x+87*y-308], [6964/9009, x^2-8/7*x*y+4/3*y^2-3*x-16/3*y], [995/1287, x^2-4/3*x*y+2*y^2-8/3*x-32/3*y+35/3], [773161/999999, x^2+1/6*x*y+1/3*y^2-55/6*x-9/2*y+133/6], [774/1001, x^2-8/5*x*y+4*y^2-9/5*x-144/5*y+238/5], [536/693, x^2-8/3*x*y-4*y^2+11/3*x+176/3*y-476/3], [2323/3003, x^2-4*x*y-2*y^2+12*x+48*y-175], [6973/9009, x^2-6/7*x*y+3/4*y^2-4*x-9/4*y], [634/819, x^2-x*y+y^2-4*x-4*y+7], [775/1001, x^2-6/5*x*y+3/2*y^2-18/5*x-81/10*y+91/5], [6976/9009, x^2-3/2*x*y+3*y^2-5/2*x-45/2*y+105/2], [774346/999999, x^2-x*y+3/2*y^2-6*x-19/2*y+35], [2326/3003, x^2-3*x*y-3*y^2+6*x+54*y-175], [774658/999999, "degenerate conic"], [997/1287, x^2-6*x*y-3/2*y^2+26*x+117/2*y-273], [774682/999999, "degenerate conic"], [6982/9009, x^2-4/7*x*y+2/5*y^2-5*x-4/5*y], [6983/9009, x^2-2/3*x*y+1/2*y^2-16/3*x-4/3*y+35/6], [776/1001, x^2-4/5*x*y+2/3*y^2-27/5*x-12/5*y+182/15], [635/819, x^2-x*y+y^2-5*x-5*y+21], [998/1287, x^2-4/3*x*y+2*y^2-11/3*x-44/3*y+140/3], [6988/9009, x^2-4*x*y-2*y^2+13*x+52*y-210], [775690/999999, "degenerate conic"], [6991/9009, x^2-2/7*x*y+1/6*y^2-6*x-1/6*y], [6992/9009, x^2-1/3*x*y+1/5*y^2-20/3*x-4/15*y+91/15], [776140/999999, x^2+2/7*x*y+1/7*y^2-9*x-27/7*y+20], [111/143, x^2-2/5*x*y+1/4*y^2-36/5*x-9/20*y+119/10], [538/693, x^2-1/2*x*y+1/3*y^2-15/2*x-5/6*y+35/2], [776434/999999, x^2-2/3*x*y+2/3*y^2-19/3*x-4*y+70/3], [6995/9009, x^2-2/3*x*y+1/2*y^2-22/3*x-11/6*y+70/3], [212/273, x^2-x*y+y^2-6*x-6*y+35], [258946/333333, x^2+6*x*y+2*y^2-57*x-68*y+434], [2333/3003, x^2+2*x*y-1/2*y^2-30*x-15/2*y+140], [7010/9009, x^2+1/3*x*y-1/7*y^2-28/3*x-4/21*y+25/3], [779/1001, x^2+2/5*x*y-1/6*y^2-54/5*x-3/10*y+259/15], [7012/9009, 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x^2-169/191*x*y+23/191*y^2-1065/191*x+615/191*y-110/191], [861316/999999, x^2+26+y^2-9*x-9*y], [95707/111111, x^2-4/3*x*y-2/5*y^2-3*x+48/5*y-96/5], [31903/37037, x^2+10/7*x*y+5/2*y^2-108/7*x-405/14*y+521/7], [861416/999999, x^2+1/5*x*y+y^2-51/5*x-51/5*y+166/5], [31908/37037, x^2+2/5*x*y+y^2-57/5*x-57/5*y+202/5], [861680/999999, x^2+3/2*x*y+y^2-18*x-18*y+80], [287227/333333, x^2+x*y+y^2-15*x-15*y+62], [861682/999999, x^2+1/2*x*y+y^2-12*x-12*y+44], [861683/999999, x^2+26+y^2-9*x-9*y], [287228/333333, x^2-1/2*x*y+y^2-6*x-6*y+8], [78335/90909, x^2-x*y+y^2-3*x-3*y-10], [95743/111111, x^2-2*x*y+y^2+3*x+3*y-46], [861689/999999, x^2-3*x*y+y^2+9*x+9*y-82], [861716/999999, x^2+4/5*x*y+y^2-69/5*x-69/5*y+274/5], [31919/37037, x^2+10/7*x*y+5/2*y^2-108/7*x-405/14*y+521/7], [287272/333333, x^2+x*y+y^2-15*x-15*y+62], [78356/90909, x^2+6/5*x*y+y^2-81/5*x-81/5*y+346/5], [862006/999999, x^2-x*y+3/2*y^2-2*x-9*y], [706/819, x^2-x*y+y^2-4*x-4*y+4], [862028/999999, x^2-2/3*x*y+2/3*y^2-14/3*x-4*y+16/3], 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