> test_for_conic := proc(n) local m, L, C, i, poss_comb, j, f, b1, b2, b3, b4, b5, solns, g, solnsa, h, solnsb, val;

> m := evalf(n);

> L := [[trunc(m*10) mod 10, trunc(m*100) mod 10], [trunc(m*100) mod 10, trunc(m*1000) mod 10], [trunc(m*1000) mod 10, trunc(m*10000) mod 10], [trunc(m*10000) mod 10, trunc(m*100000) mod 10], [trunc(m*100000) mod 10, trunc(m*1000000) mod 10], [trunc(m*1000000) mod 10, trunc(m*10) mod 10]];

> C := [c1, c2, c3, c4, c5, c6];

> for i to 6 do geometry:-point(C[i], op(L[i])) end do;

> poss_comb := combinat:-choose(C, 3);

> for j to nops(poss_comb) do if geometry:-AreCollinear(op(poss_comb[j])) = true then RETURN(n, "vacuously true") end if; end do;

> f := (x, y) -> x^2 + 2*a1*x*y + a2*y^2 + a3*x + a4*y + a5;

> b1 := f(op(L[1]));

> b2 := f(op(L[2]));

> b3 := f(op(L[3]));

> b4 := f(op(L[4]));

> b5 := f(op(L[5]));

> solns := solve({b1, b2, b3, b4, b5});

> if solns = NULL then g := (x, y) -> a0*x^2 + 2*a1*x*y + y^2 + a3*x + a4*y + a5; b1 := g(op(L[1])); b2 := g(op(L[2])); b3 := g(op(L[3])); b4 := g(op(L[4])); b5 := g(op(L[5])); solnsa := solve({b1, b2, b3, b4, b5}); if solnsa = NULL then h := (x, y) -> 2*a1*x*y + a3*x + a4*y + a5; b1 := h(op(L[1])); b2 := h(op(L[2])); b3 := h(op(L[3])); b4 := h(op(L[4])); b5 := h(op(L[5])); solnsb := solve({b1, b2, b3, b4, b5}); val := eval(h(op(L[6])), solnsb) end if; val := eval(g(op(L[6])), solnsa) end if;

> if solns <> NULL then val := eval(f(op(L[6])), solns) end if;

> if val = 0 then RETURN(n, eval(f(x, y), solns)) else RETURN(n, false) end if;

> end proc:

Warning, this will take a long, long, long time to execute.  I've broken the calculation into thirds as Maple had difficulty trying to display the whole thing (it would freeze).  Each piece takes about 1.5 hours on my computer.

> ans := []: for k from 0 to 333333/999999 by 1/999999 do z := test_for_conic(k); if z[2] <> false and z[2] <> "vacuously true" then ans := [op(ans), [z]] end if end do: nops(ans);

7506

> for alpha to nops(ans) do ans[alpha] end do;

[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]

[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]

[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]

[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]

[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, x^2-5/4*x*y+y^2-15/4*x-15/4*y+11/4]

[16/1001, x^2-152/151*x*y+121/151*y^2-675/151*x-405/151*y+284/151]

[16061/999999, x^2+x*y+y^2-7*x-7*y+6]

[85/5291, x^2+5/3*x*y+5*y^2-11*x-35*y+30]

[16102/999999, x^2-3*x*y+y^2-3*x-3*y+2]

[16103/999999, x^2-2*x*y+y^2-4*x-4*y+3]

[488/30303, x^2-x*y+y^2-5*x-5*y+4]

[16105/999999, x^2+5+y^2-6*x-6*y]

[16106/999999, x^2+x*y+y^2-7*x-7*y+6]

[16108/999999, x^2+3*x*y+y^2-9*x-9*y+8]

[16109/999999, x^2+4*x*y+y^2-10*x-10*y+9]

[5392/333333, x^2-2/5*x*y-1/6*y^2-28/5*x+77/30*y-12/5]

[2323/142857, x^2+3/5*x*y+y^2-33/5*x-33/5*y+28/5]

[16361/999999, x^2+2/5*x*y+y^2-32/5*x-32/5*y+27/5]

[16370/999999, x^2+2/7*x*y+1/7*y^2-7*x-1/7*y]

[1829/111111, x^2+1/5*x*y+y^2-31/5*x-31/5*y+26/5]

[262/15873, x^2+5/3*x*y+5*y^2-11*x-35*y+30]

[1835/111111, x^2-1/2*x*y-1/5*y^2-9/2*x+27/10*y-5/2]

[16561/999999, x^2+5+y^2-6*x-6*y]

[50/3003, x^2-1/3*x*y+1/5*y^2-5*x-1/5*y]

[151/9009, 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]

[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]

[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]

[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]

[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, x^2+14/9*x*y+7/2*y^2-16*x-77/2*y+63]

[29192/999999, x^2+6/7*x*y+y^2-75/7*x-75/7*y+122/7]

[29201/999999, x^2-3*x*y+y^2-3*x-3*y+2]

[29203/999999, x^2-2*x*y+y^2-5*x-5*y+6]

[4172/142857, x^2-3/2*x*y+y^2-6*x-6*y+8]

[295/10101, x^2-x*y+y^2-7*x-7*y+10]

[29206/999999, x^2-1/2*x*y+y^2-8*x-8*y+12]

[29207/999999, x^2+14+y^2-9*x-9*y]

[9736/333333, x^2+1/2*x*y+y^2-10*x-10*y+16]

[29209/999999, x^2+x*y+y^2-11*x-11*y+18]

[2672/90909, x^2+4/7*x*y+y^2-71/7*x-71/7*y+114/7]

[29492/999999, x^2+3/7*x*y+y^2-69/7*x-69/7*y+110/7]

[1096/37037, x^2+2/7*x*y+y^2-67/7*x-67/7*y+106/7]

[2284/76923, x^2+1/7*x*y+y^2-65/7*x-65/7*y+102/7]

[3301/111111, x^2+14/9*x*y+7/2*y^2-16*x-77/2*y+63]

[1101/37037, x^2-4/5*x*y-2/7*y^2-27/5*x+216/35*y-56/5]

[4256/142857, x^2+14+y^2-9*x-9*y]

[9964/333333, x^2-1/7*x*y+y^2-61/7*x-61/7*y+94/7]

[30/1001, x^2-4/9*x*y+2/7*y^2-7*x-4/7*y]

[30131/999999, x^2+x*y+y^2-4*x-4*y+3]

[1116/37037, x^2+4/3*x*y+2*y^2-5*x-8*y+6]

[3349/111111, x^2+3+y^2-4*x-4*y]

[2741/90909, x^2-x*y+y^2-4*x-4*y+3]

[30161/999999, x^2-2*x*y+y^2-4*x-4*y+3]

[10057/333333, x^2-3*x*y+y^2-4*x-4*y+3]

[30181/999999, x^2-4*x*y+y^2-4*x-4*y+3]

[4313/142857, x^2-5*x*y+y^2-4*x-4*y+3]

[3359/111111, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3]

[30232/999999, x^2+x*y+y^2-5*x-5*y+6]

[30242/999999, x^2+1/2*x*y+y^2-5*x-5*y+6]

[10084/333333, x^2+6+y^2-5*x-5*y]

[30262/999999, x^2-1/2*x*y+y^2-5*x-5*y+6]

[30269/999999, x^2-17/6*x*y+9/2*y^2-12*x-45/2*y+27]

[2752/90909, x^2-x*y+y^2-5*x-5*y+6]

[1442/47619, x^2-3/2*x*y+y^2-5*x-5*y+6]

[30292/999999, x^2-2*x*y+y^2-5*x-5*y+6]

[274/9009, x^2+3/2*x*y+y^2-7*x-7*y+12]

[30424/999999, x^2+5/4*x*y+y^2-7*x-7*y+12]

[30434/999999, x^2+x*y+y^2-7*x-7*y+12]

[30454/999999, x^2+1/2*x*y+y^2-7*x-7*y+12]

[4352/142857, x^2+1/4*x*y+y^2-7*x-7*y+12]

[3386/111111, x^2+12+y^2-7*x-7*y]

[30484/999999, x^2-1/4*x*y+y^2-7*x-7*y+12]

[30494/999999, x^2-1/2*x*y+y^2-7*x-7*y+12]

[30515/999999, x^2+7/5*x*y+y^2-8*x-8*y+15]

[25/819, x^2+6/5*x*y+y^2-8*x-8*y+15]

[30535/999999, x^2+x*y+y^2-8*x-8*y+15]

[30545/999999, x^2+4/5*x*y+y^2-8*x-8*y+15]

[30565/999999, x^2+2/5*x*y+y^2-8*x-8*y+15]

[30575/999999, x^2+1/5*x*y+y^2-8*x-8*y+15]

[10195/333333, x^2+15+y^2-8*x-8*y]

[30595/999999, x^2-1/5*x*y+y^2-8*x-8*y+15]

[30616/999999, x^2+4/3*x*y+y^2-9*x-9*y+18]

[30626/999999, x^2+7/6*x*y+y^2-9*x-9*y+18]

[92/3003, x^2+x*y+y^2-9*x-9*y+18]

[398/12987, x^2+5/6*x*y+y^2-9*x-9*y+18]

[30656/999999, x^2+2/3*x*y+y^2-9*x-9*y+18]

[30676/999999, x^2+1/3*x*y+y^2-9*x-9*y+18]

[30686/999999, x^2+1/6*x*y+y^2-9*x-9*y+18]

[10232/333333, x^2+18+y^2-9*x-9*y]

[3413/111111, x^2+9/7*x*y+y^2-10*x-10*y+21]

[30727/999999, x^2+8/7*x*y+y^2-10*x-10*y+21]

[4391/142857, x^2+x*y+y^2-10*x-10*y+21]

[277/9009, x^2+6/7*x*y+y^2-10*x-10*y+21]

[30757/999999, x^2+5/7*x*y+y^2-10*x-10*y+21]

[2797/90909, x^2+4/7*x*y+y^2-10*x-10*y+21]

[30787/999999, x^2+2/7*x*y+y^2-10*x-10*y+21]

[2369/76923, x^2+1/7*x*y+y^2-10*x-10*y+21]

[30818/999999, x^2+5/4*x*y+y^2-11*x-11*y+24]

[1468/47619, x^2+9/8*x*y+y^2-11*x-11*y+24]

[30838/999999, x^2+x*y+y^2-11*x-11*y+24]

[30848/999999, x^2+7/8*x*y+y^2-11*x-11*y+24]

[278/9009, x^2+3/4*x*y+y^2-11*x-11*y+24]

[30868/999999, x^2+5/8*x*y+y^2-11*x-11*y+24]

[30878/999999, x^2+1/2*x*y+y^2-11*x-11*y+24]

[4414/142857, x^2+1/4*x*y+y^2-11*x-11*y+24]

[4417/142857, x^2+11/9*x*y+y^2-12*x-12*y+27]

[30929/999999, x^2+10/9*x*y+y^2-12*x-12*y+27]

[10313/333333, x^2+x*y+y^2-12*x-12*y+27]

[30949/999999, x^2+8/9*x*y+y^2-12*x-12*y+27]

[30959/999999, x^2+7/9*x*y+y^2-12*x-12*y+27]

[30962/999999, x^2-17/27*x*y+2/9*y^2-5*x-8/3*y+6]

[31/1001, x^2+2/3*x*y+y^2-12*x-12*y+27]

[2383/76923, x^2+5/9*x*y+y^2-12*x-12*y+27]

[4427/142857, x^2+4/9*x*y+y^2-12*x-12*y+27]

[31013/999999, x^2+x*y+y^2-4*x-4*y+3]

[1149/37037, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3]

[31301/999999, x^2+x*y+y^2-4*x-4*y+3]

[94/3003, x^2+4/3*x*y+y^2-5*x-5*y+6]

[10435/333333, x^2+7/3*x*y+y^2-8*x-8*y+15]

[2846/90909, x^2+8/3*x*y+y^2-9*x-9*y+18]

[31307/999999, x^2+3*x*y+y^2-10*x-10*y+21]

[10436/333333, x^2+10/3*x*y+y^2-11*x-11*y+24]

[31309/999999, x^2+11/3*x*y+y^2-12*x-12*y+27]

[10447/333333, x^2+3*x*y-3*y^2-10*x+6*y+9]

[283/9009, x^2+3*x*y+y^2-10*x-10*y+21]

[31513/999999, x^2+7/2*x*y+y^2-23/2*x-23/2*y+51/2]

[284/9009, x^2+7/2*x*y+17/8*y^2-55/4*x-155/8*y+39]

[31613/999999, x^2+4*x*y+y^2-13*x-13*y+30]

[95/3003, x^2+61/24*x*y+9/4*y^2-109/8*x-169/8*y+345/8]

[961/30303, x^2+9/2*x*y+y^2-29/2*x-29/2*y+69/2]

[2/63, x^2+36/19*x*y+41/19*y^2-259/19*x-413/19*y+870/19]

[31813/999999, x^2+5*x*y+y^2-16*x-16*y+39]

[41/1287, x^2+169/113*x*y+233/113*y^2-1580/113*x-2540/113*y+5523/113]

[4559/142857, x^2+11/2*x*y+y^2-35/2*x-35/2*y+87/2]

[32/1001, x^2+122/99*x*y+131/66*y^2-160/11*x-515/22*y+576/11]

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[97/3003, x^2+2/3*x*y+y^2-4*x-4*y+3]

[32302/999999, x^2+x*y+y^2-5*x-5*y+6]

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[10784/333333, x^2+6*x*y-3/2*y^2-20*x-15/2*y+36]

[292/9009, x^2+13/8*x*y+1/4*y^2-29/4*x-17/4*y+21/2]

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[14/429, x^2+73/3*x*y+9*y^2-79*x-127*y+300]

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[295/9009, x^2+62*x*y+37*y^2-224*x-476*y+1095]

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[2993/90909, x^2+10*x*y+y^2-32*x-32*y+87]

[3/91, x^2+134/9*x*y+47/3*y^2-76*x-208*y+483]

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[1048/30303, x^2-11/2*x*y+y^2+11*x+17*y-60]

[8/231, x^2-73/3*x*y+9*y^2+67*x+19*y-138]

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[11735/333333, x^2+4/5*x*y+2/3*y^2-7*x-16/3*y+10]

[11744/333333, x^2+6*x*y-3/2*y^2-20*x-15/2*y+36]

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[323/9009, x^2-3*x*y+y^2+4*x+4*y-21]

[35953/999999, x^2-7/2*x*y+y^2+11/2*x+11/2*y-51/2]

[36/1001, x^2-91/36*x*y+23/48*y^2+19/8*x+113/16*y-51/2]

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[10/273, x^2-x*y+y^2-3*x-3*y]

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[12391/333333, x^2+3/4*x*y+y^2-37/4*x-37/4*y+75/4]

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[38/1001, x^2-268/207*x*y+76/69*y^2-73/23*x-94/23*y+54/23]

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[38183/999999, x^2+4/5*x*y+y^2-52/5*x-52/5*y+111/5]

[1823/47619, x^2+3/5*x*y+y^2-49/5*x-49/5*y+102/5]

[12767/333333, x^2-4/3*x*y+y^2-4*x-4*y+3]

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[608/15873, x^2-1/3*x*y+y^2-7*x-7*y+12]

[38305/999999, x^2+15+y^2-8*x-8*y]

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[38308/999999, x^2+x*y+y^2-11*x-11*y+24]

[38309/999999, x^2+4/3*x*y+y^2-12*x-12*y+27]

[38399/999999, x^2-2/3*x*y-1/2*y^2-6*x+21/2*y-27]

[38483/999999, x^2+1/5*x*y+y^2-43/5*x-43/5*y+84/5]

[12836/333333, x^2+5/4*x*y+5/3*y^2-13*x-55/3*y+40]

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[38683/999999, x^2-1/5*x*y+y^2-37/5*x-37/5*y+66/5]

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[50/1287, x^2-3/4*x*y+3/5*y^2-5*x-9/5*y]

[3/77, x^2-122/153*x*y+43/51*y^2-92/17*x-4*y+75/17]

[5569/142857, x^2-4/5*x*y+y^2-28/5*x-28/5*y+39/5]

[13031/333333, x^2+x*y+y^2-12*x-12*y+27]

[1448/37037, x^2+4/3*x*y+2*y^2-15*x-24*y+54]

[509/12987, x^2+5/6*x*y+y^2-23/2*x-23/2*y+51/2]

[39293/999999, x^2+2/3*x*y+y^2-11*x-11*y+24]

[39301/999999, x^2-5/3*x*y+y^2-4*x-4*y+3]

[39302/999999, x^2-4/3*x*y+y^2-5*x-5*y+6]

[39304/999999, x^2-2/3*x*y+y^2-7*x-7*y+12]

[5615/142857, x^2-1/3*x*y+y^2-8*x-8*y+15]

[13102/333333, x^2+18+y^2-9*x-9*y]

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[39308/999999, x^2+2/3*x*y+y^2-11*x-11*y+24]

[13103/333333, x^2+x*y+y^2-12*x-12*y+27]

[39493/999999, x^2+1/3*x*y+y^2-10*x-10*y+21]

[39593/999999, x^2+1/6*x*y+y^2-19/2*x-19/2*y+39/2]

[1467/37037, x^2+4/3*x*y+2*y^2-15*x-24*y+54]

[1468/37037, x^2-2*x*y-1/2*y^2-36+27/2*y]

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[3061/76923, x^2-1/6*x*y+y^2-17/2*x-17/2*y+33/2]

[39863/999999, x^2-16/15*x*y+1/2*y^2-14/5*x-13/10*y-3/5]

[13297/333333, x^2-7/36*x*y+3/4*y^2-37/4*x-5*y+33/4]

[5699/142857, x^2-1/3*x*y+y^2-8*x-8*y+15]

[40/1001, x^2-2/3*x*y+1/2*y^2-6*x-3/2*y]

[40121/999999, x^2+3*x*y+y^2-5*x-5*y+4]

[40141/999999, x^2+x*y+y^2-5*x-5*y+4]

[13381/333333, x^2+3/2*x*y+3*y^2-7*x-15*y+12]

[40151/999999, x^2+4+y^2-5*x-5*y]

[1217/30303, x^2-x*y+y^2-5*x-5*y+4]

[40171/999999, x^2-2*x*y+y^2-5*x-5*y+4]

[40181/999999, x^2-3*x*y+y^2-5*x-5*y+4]

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[40232/999999, x^2+3/2*x*y+y^2-6*x-6*y+8]

[13414/333333, x^2+x*y+y^2-6*x-6*y+8]

[40252/999999, x^2+1/2*x*y+y^2-6*x-6*y+8]

[40262/999999, x^2+8+y^2-6*x-6*y]

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[3662/90909, x^2-x*y+y^2-6*x-6*y+8]

[5756/142857, x^2-3/2*x*y+y^2-6*x-6*y+8]

[13441/333333, x^2+5/3*x*y+y^2-7*x-7*y+12]

[1921/47619, x^2+1/2*x*y+1/3*y^2-5*x-7/3*y+4]

[40343/999999, x^2+x*y+y^2-7*x-7*y+12]

[13451/333333, x^2+2/3*x*y+y^2-7*x-7*y+12]

[40363/999999, x^2+1/3*x*y+y^2-7*x-7*y+12]

[40373/999999, x^2+12+y^2-7*x-7*y]

[641/15873, x^2-1/3*x*y+y^2-7*x-7*y+12]

[40393/999999, x^2-2/3*x*y+y^2-7*x-7*y+12]

[365/9009, x^2+8/5*x*y+y^2-9*x-9*y+20]

[40525/999999, x^2+7/5*x*y+y^2-9*x-9*y+20]

[3685/90909, x^2+6/5*x*y+y^2-9*x-9*y+20]

[4505/111111, x^2+x*y+y^2-9*x-9*y+20]

[5795/142857, x^2+3/5*x*y+y^2-9*x-9*y+20]

[13525/333333, x^2+2/5*x*y+y^2-9*x-9*y+20]

[40585/999999, x^2+1/5*x*y+y^2-9*x-9*y+20]

[40595/999999, x^2+20+y^2-9*x-9*y]

[40616/999999, x^2+3/2*x*y+y^2-10*x-10*y+24]

[122/3003, x^2+4/3*x*y+y^2-10*x-10*y+24]

[40636/999999, x^2+7/6*x*y+y^2-10*x-10*y+24]

[40646/999999, x^2+x*y+y^2-10*x-10*y+24]

[176/4329, x^2+5/6*x*y+y^2-10*x-10*y+24]

[40676/999999, x^2+1/2*x*y+y^2-10*x-10*y+24]

[13562/333333, x^2+1/3*x*y+y^2-10*x-10*y+24]

[40696/999999, x^2+1/6*x*y+y^2-10*x-10*y+24]

[40717/999999, x^2+10/7*x*y+y^2-11*x-11*y+28]

[40727/999999, x^2+9/7*x*y+y^2-11*x-11*y+28]

[367/9009, x^2+8/7*x*y+y^2-11*x-11*y+28]

[5821/142857, x^2+x*y+y^2-11*x-11*y+28]

[40757/999999, x^2+6/7*x*y+y^2-11*x-11*y+28]

[13589/333333, x^2+5/7*x*y+y^2-11*x-11*y+28]

[40787/999999, x^2+3/7*x*y+y^2-11*x-11*y+28]

[1511/37037, x^2+2/7*x*y+y^2-11*x-11*y+28]

[13606/333333, x^2+11/8*x*y+y^2-12*x-12*y+32]

[40828/999999, x^2+5/4*x*y+y^2-12*x-12*y+32]

[5834/142857, x^2+9/8*x*y+y^2-12*x-12*y+32]

[368/9009, x^2+x*y+y^2-12*x-12*y+32]

[40858/999999, x^2+7/8*x*y+y^2-12*x-12*y+32]

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[1514/37037, x^2+5/8*x*y+y^2-12*x-12*y+32]

[286/6993, x^2+3/8*x*y+y^2-12*x-12*y+32]

[40919/999999, x^2+4/3*x*y+y^2-13*x-13*y+36]

[1949/47619, x^2+11/9*x*y+y^2-13*x-13*y+36]

[40939/999999, x^2+10/9*x*y+y^2-13*x-13*y+36]

[40949/999999, x^2+x*y+y^2-13*x-13*y+36]

[41/1001, x^2+8/9*x*y+y^2-13*x-13*y+36]

[40969/999999, x^2+7/9*x*y+y^2-13*x-13*y+36]

[40979/999999, x^2+2/3*x*y+y^2-13*x-13*y+36]

[1051/25641, x^2+5/9*x*y+y^2-13*x-13*y+36]

[41014/999999, x^2+x*y+y^2-5*x-5*y+4]

[1954/47619, x^2+1/2*x*y+1/3*y^2-5*x-7/3*y+4]

[13738/333333, x^2+5/3*x*y+y^2-23/3*x-23/3*y+44/3]

[41401/999999, x^2+x*y+y^2-5*x-5*y+4]

[41402/999999, x^2+5/4*x*y+y^2-6*x-6*y+8]

[373/9009, x^2+3/2*x*y+y^2-7*x-7*y+12]

[13802/333333, x^2+9/4*x*y+y^2-10*x-10*y+24]

[41407/999999, x^2+5/2*x*y+y^2-11*x-11*y+28]

[41408/999999, x^2+11/4*x*y+y^2-12*x-12*y+32]

[4601/111111, x^2+3*x*y+y^2-13*x-13*y+36]

[13817/333333, x^2+8/3*x*y-4*y^2-35/3*x+40/3*y+32/3]

[34/819, x^2+8/3*x*y+y^2-35/3*x-35/3*y+92/3]

[41614/999999, x^2+3*x*y+y^2-13*x-13*y+36]

[125/3003, x^2+49/17*x*y+29/17*y^2-249/17*x-321/17*y+820/17]

[41654/999999, x^2-5/3*x*y-1/3*y^2+5/3*x+7*y-68/3]

[41677/999999, x^2+2*x*y+7*y^2-27*x-63*y+140]

[41714/999999, x^2+10/3*x*y+y^2-43/3*x-43/3*y+124/3]

[376/9009, x^2+9/4*x*y+29/16*y^2-119/8*x-329/16*y+213/4]

[4646/111111, x^2+11/3*x*y+y^2-47/3*x-47/3*y+140/3]

[29/693, x^2+193/108*x*y+16/9*y^2-409/27*x-577/27*y+1540/27]

[41914/999999, x^2+4*x*y+y^2-17*x-17*y+52]

[6/143, x^2+152/103*x*y+178/103*y^2-1611/103*x-2286/103*y+6296/103]

[14008/333333, x^2+x*y+y^2-6*x-6*y+8]

[42124/999999, x^2+3/2*x*y+y^2-8*x-8*y+16]

[42401/999999, x^2+3/4*x*y+y^2-5*x-5*y+4]

[382/9009, x^2+x*y+y^2-6*x-6*y+8]

[42403/999999, x^2+5/4*x*y+y^2-7*x-7*y+12]

[1285/30303, x^2+7/4*x*y+y^2-9*x-9*y+20]

[42407/999999, x^2+9/4*x*y+y^2-11*x-11*y+28]

[42409/999999, x^2+11/4*x*y+y^2-13*x-13*y+36]

[674/15873, x^2+4*x*y-2*y^2-18*x+32]

[383/9009, x^2+28/17*x*y+8/17*y^2-155/17*x-110/17*y+312/17]

[42524/999999, x^2+7/2*x*y+y^2-16*x-16*y+48]

[128/3003, x^2+4*x*y+y^2-18*x-18*y+56]

[3884/90909, x^2+9/2*x*y+y^2-20*x-20*y+64]

[5/117, x^2+124/19*x*y+52/19*y^2-567/19*x-42*y+2360/19]

[42824/999999, x^2+5*x*y+y^2-22*x-22*y+72]

[386/9009, x^2+13/2*x*y+4*y^2-34*x-58*y+168]

[2044/47619, x^2+11/2*x*y+y^2-24*x-24*y+80]

[43/1001, x^2+316/61*x*y+256/61*y^2-1971/61*x-3726/61*y+10808/61]

[14338/333333, x^2+3/2*x*y+3*y^2-7*x-15*y+12]

[43034/999999, x^2+x*y+y^2-7*x-7*y+12]

[43234/999999, x^2+3*x*y+y^2-15*x-15*y+44]

[437/10101, x^2+29/3*x*y+y^2-39*x-31*y+108]

[391/9009, x^2+1/2*x*y+y^2-5*x-5*y+4]

[43402/999999, x^2+3/4*x*y+y^2-6*x-6*y+8]

[43403/999999, x^2+x*y+y^2-7*x-7*y+12]

[43405/999999, x^2+3/2*x*y+y^2-9*x-9*y+20]

[3946/90909, x^2+7/4*x*y+y^2-10*x-10*y+24]

[43408/999999, x^2+9/4*x*y+y^2-12*x-12*y+32]

[43409/999999, x^2+5/2*x*y+y^2-13*x-13*y+36]

[14491/333333, x^2+8*x*y-4/3*y^2-35*x-56/3*y+96]

[43534/999999, x^2+6*x*y+y^2-27*x-27*y+92]

[14537/333333, x^2+6/5*x*y-1/5*y^2-41/5*x-y+36/5]

[131/3003, x^2+73/27*x*y+1/9*y^2-127/9*x-79/9*y+100/3]

[43634/999999, x^2+7*x*y+y^2-31*x-31*y+108]

[394/9009, x^2+8*x*y+y^2-35*x-35*y+124]

[6262/142857, x^2+9*x*y+y^2-39*x-39*y+140]

[395/9009, x^2+241/4*x*y+16*y^2-249*x-369*y+1220]

[3994/90909, x^2+10*x*y+y^2-43*x-43*y+156]

[4/91, x^2-91/3*x*y-51/4*y^2+255/2*x+1005/4*y-801]

[401/9009, x^2+2/3*x*y-1/4*y^2-20/3*x-5/12*y+17/3]

[134/3003, x^2+2*x*y-1/2*y^2-12*x-3*y+20]

[31/693, x^2+6*x*y-3/4*y^2-28*x-63/4*y+75]

[45/1001, x^2-10*x*y-5/4*y^2+36*x+225/4*y-205]

[15017/333333, x^2+2/5*x*y+1/4*y^2-6*x-9/4*y+5]

[5006/111111, x^2+x*y+y^2-9*x-9*y+20]

[15035/333333, x^2+2/5*x*y+1/4*y^2-6*x-9/4*y+5]

[15047/333333, x^2+8/3*x*y-4*y^2-35/3*x+40/3*y+32/3]

[45154/999999, x^2+4+y^2-5*x-5*y]

[4114/90909, x^2-x*y+y^2-x-y-12]

[15118/333333, x^2-2*x*y+y^2+3*x+3*y-28]

[45401/999999, x^2+4+y^2-5*x-5*y]

[2162/47619, x^2+1/4*x*y+y^2-6*x-6*y+8]

[45403/999999, x^2+1/2*x*y+y^2-7*x-7*y+12]

[5045/111111, x^2+x*y+y^2-9*x-9*y+20]

[45406/999999, x^2+5/4*x*y+y^2-10*x-10*y+24]

[45407/999999, x^2+3/2*x*y+y^2-11*x-11*y+28]

[1376/30303, x^2+7/4*x*y+y^2-12*x-12*y+32]

[45478/999999, x^2-7/6*x*y-4/3*y^2-1/3*x+62/3*y-184/3]

[1685/37037, x^2-8*x*y-4/5*y^2+27*x+216/5*y-160]

[410/9009, x^2-8/5*x*y+4*y^2-x-16*y]

[45614/999999, x^2+5*x*y-3*y^2-21*x-5*y+68]

[137/3003, x^2+49/13*x*y-47/13*y^2-225/13*x+135/13*y+212/13]

[2174/47619, x^2-5*x*y+y^2+15*x+15*y-76]

[1692/37037, x^2-25/2*x*y+4*y^2+42*x+30*y-184]

[412/9009, x^2+31/4*x*y-59/16*y^2-273/8*x-21/16*y+257/4]

[45754/999999, x^2-6*x*y+y^2+19*x+19*y-92]

[59/1287, x^2-241/4*x*y+16*y^2+233*x+113*y-708]

[45854/999999, x^2-7*x*y+y^2+23*x+23*y-108]

[46/1001, x^2-8*x*y+y^2+27*x+27*y-124]

[1706/37037, x^2+2/3*x*y+1/2*y^2-8*x-5*y+12]

[46064/999999, x^2+x*y+y^2-10*x-10*y+24]

[46160/999999, x^2+1/6*x*y+1/3*y^2-6*x-4/3*y]

[15388/333333, x^2+1/2*x*y+y^2-8*x-8*y+16]

[5134/111111, x^2+2/3*x*y+1/2*y^2-8*x-5*y+12]

[734/15873, x^2+4*x*y-2*y^2-18*x+32]

[46264/999999, x^2+8+y^2-6*x-6*y]

[46364/999999, x^2-1/2*x*y+y^2-4*x-4*y]

[15467/333333, x^2-1/4*x*y+y^2-5*x-5*y+4]

[46402/999999, x^2+8+y^2-6*x-6*y]

[6629/142857, x^2+1/4*x*y+y^2-7*x-7*y+12]

[46405/999999, x^2+3/4*x*y+y^2-9*x-9*y+20]

[46406/999999, x^2+x*y+y^2-10*x-10*y+24]

[15469/333333, x^2+5/4*x*y+y^2-11*x-11*y+28]

[46408/999999, x^2+3/2*x*y+y^2-12*x-12*y+32]

[4219/90909, x^2+7/4*x*y+y^2-13*x-13*y+36]

[6652/142857, x^2-3/2*x*y+y^2-16]

[20/429, x^2-4/3*x*y+2*y^2-2*x-8*y]

[422/9009, x^2-13/2*x*y+4*y^2+18*x-6*y-40]

[46864/999999, x^2-3*x*y+y^2+6*x+6*y-40]

[47/1001, x^2-364/69*x*y+48/23*y^2+339/23*x+114/23*y-1224/23]

[46964/999999, x^2-7/2*x*y+y^2+8*x+8*y-48]

[1207/25641, x^2+6/7*x*y+3/4*y^2-10*x-33/4*y+21]

[47074/999999, x^2+x*y+y^2-11*x-11*y+28]

[47174/999999, x^2+2/3*x*y+y^2-29/3*x-29/3*y+68/3]

[15758/333333, x^2+1/3*x*y+y^2-25/3*x-25/3*y+52/3]

[1213/25641, x^2+6/7*x*y+3/4*y^2-10*x-33/4*y+21]

[15781/333333, x^2+8*x*y-4/3*y^2-35*x-56/3*y+96]

[47374/999999, x^2+12+y^2-7*x-7*y]

[47401/999999, x^2-1/2*x*y+y^2-5*x-5*y+4]

[47402/999999, x^2-1/4*x*y+y^2-6*x-6*y+8]

[5267/111111, x^2+12+y^2-7*x-7*y]

[47405/999999, x^2+1/2*x*y+y^2-9*x-9*y+20]

[15802/333333, x^2+3/4*x*y+y^2-10*x-10*y+24]

[47407/999999, x^2+x*y+y^2-11*x-11*y+28]

[47408/999999, x^2+5/4*x*y+y^2-12*x-12*y+32]

[15803/333333, x^2+3/2*x*y+y^2-13*x-13*y+36]

[1762/37037, x^2-2/3*x*y+y^2-13/3*x-13/3*y+4/3]

[4334/90909, x^2-x*y+y^2-3*x-3*y-4]

[430/9009, x^2-8/7*x*y+4/3*y^2-3*x-16/3*y]

[431/9009, x^2-193/108*x*y+16/9*y^2-23/27*x-191/27*y-4/27]

[15956/333333, x^2-39/32*x*y+1/8*y^2-13/4*x+9*y-38]

[15958/333333, x^2-5/3*x*y+y^2-1/3*x-1/3*y-44/3]

[48/1001, x^2-79/31*x*y+229/124*y^2+153/62*x-639/124*y-277/31]

[47974/999999, x^2-2*x*y+y^2+x+y-20]

[16028/333333, x^2+x*y+y^2-12*x-12*y+32]

[1459/30303, x^2+43/6*x*y+y^2-89/3*x-131/3*y+476/3]

[48184/999999, x^2+3/4*x*y+y^2-11*x-11*y+28]

[1462/30303, x^2+8*x*y+y^2-34*x-46*y+168]

[48284/999999, x^2+1/2*x*y+y^2-10*x-10*y+24]

[1465/30303, x^2+23/2*x*y+y^2-49*x-59*y+220]

[256/5291, x^2+1/4*x*y+y^2-9*x-9*y+20]

[48401/999999, x^2-3/4*x*y+y^2-5*x-5*y+4]

[5378/111111, x^2-1/2*x*y+y^2-6*x-6*y+8]

[48403/999999, x^2-1/4*x*y+y^2-7*x-7*y+12]

[2305/47619, x^2+1/4*x*y+y^2-9*x-9*y+20]

[48406/999999, x^2+1/2*x*y+y^2-10*x-10*y+24]

[48407/999999, x^2+3/4*x*y+y^2-11*x-11*y+28]

[16136/333333, x^2+x*y+y^2-12*x-12*y+32]

[48409/999999, x^2+5/4*x*y+y^2-13*x-13*y+36]

[16144/333333, x^2-25/2*x*y+4*y^2+42*x+6*y-88]

[1471/30303, x^2-11/2*x*y+y^2+17*x+11*y-60]

[48584/999999, x^2-1/4*x*y+y^2-7*x-7*y+12]

[1802/37037, x^2-25/8*x*y+1/4*y^2+15/2*x+21/2*y-46]

[16228/333333, x^2-1/2*x*y+y^2-6*x-6*y+8]

[211/4329, x^2-7/6*x*y+y^2-7/3*x-13/3*y+4/3]

[48784/999999, x^2-3/4*x*y+y^2-5*x-5*y+4]

[40/819, x^2-x*y+y^2-4*x-4*y]

[7/143, x^2-152/121*x*y+151/121*y^2-405/121*x-675/121*y+284/121]

[1256/25641, x^2-5/4*x*y+y^2-3*x-3*y-4]

[49094/999999, x^2+x*y+y^2-13*x-13*y+36]

[5455/111111, x^2+10/9*x*y+5/4*y^2-14*x-65/4*y+45]

[1822/37037, x^2+4/5*x*y+y^2-61/5*x-61/5*y+164/5]

[7042/142857, x^2+3/5*x*y+y^2-57/5*x-57/5*y+148/5]

[49394/999999, x^2+2/5*x*y+y^2-53/5*x-53/5*y+132/5]

[499/10101, x^2-x*y+y^2-5*x-5*y+4]

[49402/999999, x^2-3/4*x*y+y^2-6*x-6*y+8]

[49403/999999, x^2-1/2*x*y+y^2-7*x-7*y+12]

[49405/999999, x^2+20+y^2-9*x-9*y]

[7058/142857, x^2+1/4*x*y+y^2-10*x-10*y+24]

[16469/333333, x^2+1/2*x*y+y^2-11*x-11*y+28]

[49408/999999, x^2+3/4*x*y+y^2-12*x-12*y+32]

[49409/999999, x^2+x*y+y^2-13*x-13*y+36]

[1830/37037, x^2-2*x*y+4/3*y^2-x-16/3*y]

[5501/111111, x^2+10/9*x*y+5/4*y^2-14*x-65/4*y+45]

[1835/37037, x^2-8*x*y-4/5*y^2+27*x+216/5*y-160]

[49594/999999, x^2+20+y^2-9*x-9*y]

[49694/999999, x^2-1/5*x*y+y^2-41/5*x-41/5*y+84/5]

[16598/333333, x^2-2/5*x*y+y^2-37/5*x-37/5*y+68/5]

[3838/76923, x^2-3/5*x*y+y^2-33/5*x-33/5*y+52/5]

[50/1001, x^2-8/9*x*y+4/5*y^2-5*x-16/5*y]

[1856/37037, x^2+6*x*y+2*y^2-7*x-12*y+10]

[5569/111111, x^2+4*x*y+y^2-6*x-6*y+5]

[50131/999999, x^2+3*x*y+y^2-6*x-6*y+5]

[16717/333333, x^2+x*y+y^2-6*x-6*y+5]

[1286/25641, x^2+8/5*x*y+4*y^2-9*x-24*y+20]

[50161/999999, x^2+5+y^2-6*x-6*y]

[4561/90909, x^2-x*y+y^2-6*x-6*y+5]

[16727/333333, x^2-2*x*y+y^2-6*x-6*y+5]

[50191/999999, x^2-3*x*y+y^2-6*x-6*y+5]

[797/15873, x^2+3*x*y+1/2*y^2-6*x-7/2*y+5]

[50212/999999, x^2+3*x*y+y^2-7*x-7*y+10]

[50242/999999, x^2+3/2*x*y+y^2-7*x-7*y+10]

[50252/999999, x^2+x*y+y^2-7*x-7*y+10]

[2393/47619, x^2+6/5*x*y+3/2*y^2-8*x-21/2*y+15]

[16754/333333, x^2+1/2*x*y+y^2-7*x-7*y+10]

[50266/999999, x^2+1/2*x*y+3*y^2-11*x-21*y+30]

[50272/999999, x^2+10+y^2-7*x-7*y]

[50282/999999, x^2-1/2*x*y+y^2-7*x-7*y+10]

[508/10101, x^2-x*y+y^2-7*x-7*y+10]

[16771/333333, x^2+7/3*x*y+y^2-8*x-8*y+15]

[16781/333333, x^2+4/3*x*y+y^2-8*x-8*y+15]

[16784/333333, x^2+4/5*x*y+2/3*y^2-7*x-16/3*y+10]

[50353/999999, x^2+x*y+y^2-8*x-8*y+15]

[50363/999999, x^2+2/3*x*y+y^2-8*x-8*y+15]

[5597/111111, x^2+1/3*x*y+y^2-8*x-8*y+15]

[50383/999999, x^2+15+y^2-8*x-8*y]

[7199/142857, x^2-1/3*x*y+y^2-8*x-8*y+15]

[1528/30303, x^2+7/4*x*y+y^2-9*x-9*y+20]

[50434/999999, x^2+3/2*x*y+y^2-9*x-9*y+20]

[16817/333333, x^2+2/5*x*y+1/4*y^2-6*x-9/4*y+5]

[5606/111111, x^2+x*y+y^2-9*x-9*y+20]

[50464/999999, x^2+3/4*x*y+y^2-9*x-9*y+20]

[50474/999999, x^2+1/2*x*y+y^2-9*x-9*y+20]

[2404/47619, x^2+1/4*x*y+y^2-9*x-9*y+20]

[50494/999999, x^2+20+y^2-9*x-9*y]

[152/3003, x^2+5/3*x*y+y^2-11*x-11*y+30]

[50626/999999, x^2+3/2*x*y+y^2-11*x-11*y+30]

[50636/999999, x^2+4/3*x*y+y^2-11*x-11*y+30]

[16882/333333, x^2+7/6*x*y+y^2-11*x-11*y+30]

[50656/999999, x^2+x*y+y^2-11*x-11*y+30]

[50662/999999, x^2+1/6*x*y+1/3*y^2-7*x-11/3*y+10]

[16892/333333, x^2+2/3*x*y+y^2-11*x-11*y+30]

[50686/999999, x^2+1/2*x*y+y^2-11*x-11*y+30]

[50696/999999, x^2+1/3*x*y+y^2-11*x-11*y+30]

[50717/999999, x^2+11/7*x*y+y^2-12*x-12*y+35]

[457/9009, x^2+10/7*x*y+y^2-12*x-12*y+35]

[50737/999999, x^2+9/7*x*y+y^2-12*x-12*y+35]

[50747/999999, x^2+8/7*x*y+y^2-12*x-12*y+35]

[2417/47619, x^2+x*y+y^2-12*x-12*y+35]

[50767/999999, x^2+6/7*x*y+y^2-12*x-12*y+35]

[171/3367, x^2+4/7*x*y+y^2-12*x-12*y+35]

[50797/999999, x^2+3/7*x*y+y^2-12*x-12*y+35]

[50818/999999, x^2+3/2*x*y+y^2-13*x-13*y+40]

[50828/999999, x^2+11/8*x*y+y^2-13*x-13*y+40]

[458/9009, x^2+5/4*x*y+y^2-13*x-13*y+40]

[7264/142857, x^2+9/8*x*y+y^2-13*x-13*y+40]

[50858/999999, x^2+x*y+y^2-13*x-13*y+40]

[1884/37037, x^2+7/8*x*y+y^2-13*x-13*y+40]

[50878/999999, x^2+3/4*x*y+y^2-13*x-13*y+40]

[16966/333333, x^2+1/2*x*y+y^2-13*x-13*y+40]

[1543/30303, x^2+13/9*x*y+y^2-14*x-14*y+45]

[50929/999999, x^2+4/3*x*y+y^2-14*x-14*y+45]

[7277/142857, x^2+11/9*x*y+y^2-14*x-14*y+45]

[51/1001, x^2+10/9*x*y+y^2-14*x-14*y+45]

[50959/999999, x^2+x*y+y^2-14*x-14*y+45]

[50969/999999, x^2+8/9*x*y+y^2-14*x-14*y+45]

[16993/333333, x^2+7/9*x*y+y^2-14*x-14*y+45]

[50989/999999, x^2+2/3*x*y+y^2-14*x-14*y+45]

[17005/333333, x^2+x*y+y^2-6*x-6*y+5]

[17015/333333, x^2+2/5*x*y+1/4*y^2-6*x-9/4*y+5]

[51215/999999, x^2+3/2*x*y+y^2-17/2*x-17/2*y+35/2]

[1555/30303, x^2+7/4*x*y+y^2-39/4*x-39/4*y+95/4]

[17167/333333, x^2+x*y+y^2-6*x-6*y+5]

[4682/90909, x^2+6/5*x*y+y^2-7*x-7*y+10]

[51503/999999, x^2+7/5*x*y+y^2-8*x-8*y+15]

[464/9009, x^2+8/5*x*y+y^2-9*x-9*y+20]

[5723/111111, x^2+11/5*x*y+y^2-12*x-12*y+35]

[51508/999999, x^2+12/5*x*y+y^2-13*x-13*y+40]

[51509/999999, x^2+13/5*x*y+y^2-14*x-14*y+45]

[5729/111111, x^2+5/2*x*y-5*y^2-27/2*x+45/2*y+25/2]

[155/3003, x^2+5/2*x*y+y^2-27/2*x-27/2*y+85/2]

[51715/999999, x^2+11/4*x*y+y^2-59/4*x-59/4*y+195/4]

[466/9009, x^2+76/29*x*y+44/29*y^2-469/29*x-574/29*y+1770/29]

[51815/999999, x^2+3*x*y+y^2-16*x-16*y+55]

[467/9009, x^2+169/79*x*y+127/79*y^2-1308/79*x-1692/79*y+5285/79]

[17305/333333, x^2+13/4*x*y+y^2-69/4*x-69/4*y+245/4]

[4/77, x^2+76/43*x*y+137/86*y^2-729/43*x-1917/86*y+3080/43]

[52025/999999, x^2+x*y+y^2-7*x-7*y+10]

[17345/333333, x^2+4/5*x*y+2/3*y^2-7*x-16/3*y+10]

[17375/333333, x^2+4/3*x*y+y^2-26/3*x-26/3*y+55/3]

[5825/111111, x^2+7/3*x*y+y^2-41/3*x-41/3*y+130/3]

[52501/999999, x^2+4/5*x*y+y^2-6*x-6*y+5]

[52502/999999, x^2+x*y+y^2-7*x-7*y+10]

[43/819, x^2+6/5*x*y+y^2-8*x-8*y+15]

[52504/999999, x^2+7/5*x*y+y^2-9*x-9*y+20]

[5834/111111, x^2+9/5*x*y+y^2-11*x-11*y+30]

[52508/999999, x^2+11/5*x*y+y^2-13*x-13*y+40]

[17503/333333, x^2+12/5*x*y+y^2-14*x-14*y+45]

[1348/25641, x^2+10/3*x*y-5/2*y^2-56/3*x+35/6*y+100/3]

[158/3003, x^2+49/29*x*y+17/29*y^2-321/29*x-249/29*y+820/29]

[52621/999999, x^2+5*x*y-3*y^2-21*x+11*y+20]

[52625/999999, x^2+3*x*y+y^2-17*x-17*y+60]

[475/9009, x^2+10/3*x*y+y^2-56/3*x-56/3*y+205/3]

[52825/999999, x^2+11/3*x*y+y^2-61/3*x-61/3*y+230/3]

[52925/999999, x^2+4*x*y+y^2-22*x-22*y+85]

[53/1001, x^2+158/37*x*y+97/37*y^2-1044/37*x-1584/37*y+5495/37]

[2525/47619, x^2+6/5*x*y+3/2*y^2-8*x-21/2*y+15]

[53035/999999, x^2+x*y+y^2-8*x-8*y+15]

[53135/999999, x^2+3/2*x*y+y^2-21/2*x-21/2*y+55/2]

[179/3367, x^2+22/3*x*y+y^2-33*x-23*y+90]

[53435/999999, x^2+3*x*y+y^2-18*x-18*y+65]

[2545/47619, x^2+3*x*y+1/2*y^2-19*x-33/2*y+70]

[7643/142857, x^2+3/5*x*y+y^2-6*x-6*y+5]

[482/9009, x^2+4/5*x*y+y^2-7*x-7*y+10]

[53503/999999, x^2+x*y+y^2-8*x-8*y+15]

[4864/90909, x^2+6/5*x*y+y^2-9*x-9*y+20]

[53506/999999, x^2+8/5*x*y+y^2-11*x-11*y+30]

[53507/999999, 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]

[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]

[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]

[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]

[6718/111111, x^2+2/3*x*y+1/2*y^2-8*x-5*y+12]

[60464/999999, x^2+x*y+y^2-10*x-10*y+24]

[20158/333333, x^2+3/4*x*y+y^2-10*x-10*y+24]

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[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]

[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]

[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, x^2+74/179*x*y+127/358*y^2-1944/179*x-1809/358*y+3172/179]

[120902/999999, x^2+5*x*y+y^2-11*x-11*y+18]

[40340/333333, x^2+x*y+y^2-3*x-3*y+2]

[1921/15873, x^2+4*x*y-2*y^2-9*x+8]

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[13450/111111, x^2+4*x*y+y^2-6*x-6*y+5]

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[121070/999999, x^2+6*x*y+y^2-8*x-8*y+7]

[40360/333333, x^2+7*x*y+y^2-9*x-9*y+8]

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[13480/111111, x^2-2*x*y-1/2*y^2-4+9/2*y]

[1093/9009, x^2+x*y+y^2-6*x-6*y+11]

[121343/999999, x^2+10+y^2-5*x-5*y]

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[11033/90909, x^2-x*y+y^2-4*x-4*y+9]

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[13487/111111, x^2-2*x*y+y^2-3*x-3*y+8]

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[40468/333333, x^2+5/3*x*y+y^2-23/3*x-23/3*y+44/3]

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[1094/9009, x^2+2/3*x*y+y^2-20/3*x-20/3*y+41/3]

[121454/999999, x^2+13+y^2-6*x-6*y]

[1928/15873, x^2-1/3*x*y+y^2-17/3*x-17/3*y+38/3]

[121474/999999, x^2-2/3*x*y+y^2-16/3*x-16/3*y+37/3]

[11044/90909, x^2-x*y+y^2-5*x-5*y+12]

[40498/333333, x^2-4/3*x*y+y^2-14/3*x-14/3*y+35/3]

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[121535/999999, x^2+3/4*x*y+y^2-31/4*x-31/4*y+67/4]

[365/3003, x^2+1/2*x*y+y^2-15/2*x-15/2*y+33/2]

[121565/999999, x^2+16+y^2-7*x-7*y]

[40525/333333, x^2-1/4*x*y+y^2-27/4*x-27/4*y+63/4]

[121585/999999, x^2-1/2*x*y+y^2-13/2*x-13/2*y+31/2]

[121595/999999, x^2-3/4*x*y+y^2-25/4*x-25/4*y+61/4]

[121606/999999, x^2+7/5*x*y+y^2-47/5*x-47/5*y+102/5]

[13514/111111, x^2+x*y+y^2-9*x-9*y+20]

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[17378/142857, x^2+3/5*x*y+y^2-43/5*x-43/5*y+98/5]

[1096/9009, x^2+2/5*x*y+y^2-42/5*x-42/5*y+97/5]

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[40562/333333, x^2-1/5*x*y+y^2-39/5*x-39/5*y+94/5]

[121696/999999, x^2-2/5*x*y+y^2-38/5*x-38/5*y+93/5]

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[527/4329, x^2+5/6*x*y+y^2-59/6*x-59/6*y+137/6]

[121747/999999, x^2+2/3*x*y+y^2-29/3*x-29/3*y+68/3]

[121757/999999, x^2+1/2*x*y+y^2-19/2*x-19/2*y+45/2]

[1097/9009, x^2+1/3*x*y+y^2-28/3*x-28/3*y+67/3]

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[347/2849, x^2-1/6*x*y+y^2-53/6*x-53/6*y+131/6]

[121808/999999, x^2+9/7*x*y+y^2-79/7*x-79/7*y+184/7]

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[121838/999999, x^2+6/7*x*y+y^2-76/7*x-76/7*y+181/7]

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[122/1001, x^2+2/7*x*y+y^2-72/7*x-72/7*y+177/7]

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[121909/999999, x^2+5/4*x*y+y^2-49/4*x-49/4*y+117/4]

[40643/333333, x^2+x*y+y^2-12*x-12*y+29]

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[121949/999999, x^2+3/4*x*y+y^2-47/4*x-47/4*y+115/4]

[4517/37037, x^2+5/8*x*y+y^2-93/8*x-93/8*y+229/8]

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[853/6993, x^2+3/8*x*y+y^2-91/8*x-91/8*y+227/8]

[157/1287, x^2+1/4*x*y+y^2-45/4*x-45/4*y+113/4]

[100/819, x^2-x*y+y^2-x-y]

[40772/333333, x^2+6*x*y+2*y^2-15*x-22*y+38]

[1103/9009, x^2-4*x*y-2*y^2+5*x+20*y-30]

[368/3003, x^2-3*x*y-3*y^2+3*x+27*y-40]

[85/693, x^2-8/3*x*y-4*y^2+7/3*x+112/3*y-170/3]

[5845/47619, x^2-6*x*y-5*y^2+9*x+57*y-92]

[158/1287, x^2-5/2*x*y-5*y^2+2*x+50*y-78]

[123/1001, x^2-12/5*x*y-6*y^2+9/5*x+324/5*y-518/5]

[1108/9009, x^2-7/3*x*y-7*y^2+5/3*x+245/3*y-400/3]

[3728/30303, x^2+8*x*y+y^2-17*x-23*y+42]

[1954/15873, x^2+4*x*y-2*y^2-9*x+8]

[41044/333333, x^2+x*y+y^2-6*x-6*y+11]

[41071/333333, x^2+x*y+y^2-6*x-6*y+11]

[123215/999999, x^2+3*x*y+y^2-10*x-10*y+19]

[41072/333333, x^2+4*x*y+y^2-12*x-12*y+23]

[123217/999999, x^2+5*x*y+y^2-14*x-14*y+27]

[123218/999999, x^2+6*x*y+y^2-16*x-16*y+31]

[13691/111111, x^2+7*x*y+y^2-18*x-18*y+35]

[41081/333333, x^2-2*x*y-1/2*y^2-10+15/2*y]

[101/819, x^2-x*y+y^2-2*x-2*y+3]

[123532/999999, x^2-3*x*y+y^2+2*x+2*y-5]

[53/429, x^2-13/8*x*y+1/4*y^2-9/8*x+27/8*y-35/8]

[123632/999999, x^2-4*x*y+y^2+4*x+4*y-9]

[1114/9009, x^2-14/11*x*y-1/11*y^2-28/11*x+56/11*y-63/11]

[1964/15873, x^2-5*x*y+y^2+6*x+6*y-13]

[123736/999999, x^2-5/3*x*y-1/3*y^2-4*x+28/3*y-11]

[1115/9009, x^2-49/47*x*y-13/47*y^2-180/47*x+300/47*y-317/47]

[123832/999999, x^2-6*x*y+y^2+8*x+8*y-17]

[124/1001, x^2-38/43*x*y-17/43*y^2-216/43*x+324/43*y-331/43]

[123932/999999, x^2-7*x*y+y^2+10*x+10*y-21]

[1117/9009, x^2-109/142*x*y-34/71*y^2-875/142*x+1225/142*y-1227/142]

[124042/999999, x^2+3/2*x*y+y^2-8*x-8*y+16]

[124142/999999, x^2+x*y+y^2-7*x-7*y+14]

[41381/333333, x^2+4/3*x*y+2*y^2-25/3*x-40/3*y+70/3]

[124210/999999, x^2-3*x*y+y^2+x+y-2]

[124213/999999, x^2+10+y^2-5*x-5*y]

[124214/999999, x^2+x*y+y^2-7*x-7*y+14]

[124216/999999, x^2+3*x*y+y^2-11*x-11*y+22]

[124217/999999, x^2+4*x*y+y^2-13*x-13*y+26]

[13802/111111, x^2+5*x*y+y^2-15*x-15*y+30]

[124219/999999, x^2+6*x*y+y^2-17*x-17*y+34]

[354/2849, x^2-x*y-1/3*y^2-3*x+5*y-14/3]

[41438/333333, x^2+4/3*x*y+2*y^2-25/3*x-40/3*y+70/3]

[160/1287, x^2-13/8*x*y+1/4*y^2-3/4*x+9/4*y-5/2]

[41441/333333, x^2-2*x*y-1/2*y^2-10+15/2*y]

[124342/999999, x^2+10+y^2-5*x-5*y]

[1121/9009, x^2-2/3*x*y+1/2*y^2-10/3*x-5/6*y+10/3]

[124541/999999, x^2-2/3*x*y+2/3*y^2-13/3*x-4/3*y+14/3]

[34/273, x^2-x*y+y^2-3*x-3*y+6]

[124552/999999, x^2-x*y+3/2*y^2-4*x-11/2*y+10]

[17806/142857, x^2-3/2*x*y+y^2-2*x-2*y+4]

[1123/9009, x^2-28/23*x*y+17/23*y^2-63/23*x-21/23*y+70/23]

[3778/30303, x^2-4/3*x*y+y^2-11/3*x-5/3*y+14/3]

[124742/999999, x^2-2*x*y+y^2-x-y+2]

[1124/9009, x^2-61/54*x*y+4/9*y^2-94/27*x+26/27*y+28/27]

[124942/999999, x^2-3*x*y+y^2+x+y-2]

[1126/9009, x^2-169/191*x*y+23/191*y^2-1065/191*x+615/191*y-110/191]

[41684/333333, x^2+4/3*x*y+y^2-26/3*x-26/3*y+55/3]

[125152/999999, x^2+x*y+y^2-8*x-8*y+17]

[13906/111111, x^2+3/2*x*y+3*y^2-21/2*x-45/2*y+79/2]

[125210/999999, x^2-4*x*y+y^2+2*x+2*y-3]

[11383/90909, x^2-x*y+y^2-4*x-4*y+9]

[41738/333333, x^2+13+y^2-6*x-6*y]

[125215/999999, x^2+x*y+y^2-8*x-8*y+17]

[13913/111111, x^2+3*x*y+y^2-12*x-12*y+25]

[125218/999999, x^2+4*x*y+y^2-14*x-14*y+29]

[125219/999999, x^2+5*x*y+y^2-16*x-16*y+33]

[5965/47619, x^2-2/3*x*y-1/4*y^2-14/3*x+49/12*y-13/6]

[13928/111111, x^2+1/3*x*y+y^2-20/3*x-20/3*y+43/3]

[4645/37037, x^2+3/2*x*y+3*y^2-21/2*x-45/2*y+79/2]

[1072/8547, x^2-x*y-1/3*y^2-3*x+5*y-14/3]

[1130/9009, x^2-14/11*x*y-1/11*y^2-20/11*x+40/11*y-39/11]

[125452/999999, x^2+13+y^2-6*x-6*y]

[125459/999999, x^2+7/8*x*y-3/4*y^2-83/8*x+43/8*y-1/8]

[29/231, x^2-1/2*x*y+1/3*y^2-9/2*x-1/2*y+25/6]

[125542/999999, x^2-2/3*x*y+2/3*y^2-11/3*x-8/3*y+20/3]

[1132/9009, x^2-2/3*x*y+y^2-14/3*x-14/3*y+31/3]

[11432/90909, x^2-x*y+y^2-4*x-4*y+9]

[103/819, x^2-x*y+y^2-4*x-4*y+9]

[125852/999999, x^2-4/3*x*y+y^2-10/3*x-10/3*y+23/3]

[125863/999999, x^2-28/23*x*y+20/23*y^2-79/23*x-62/23*y+156/23]

[18/143, x^2-18/17*x*y+13/17*y^2-72/17*x-36/17*y+111/17]

[545/4329, x^2-7/6*x*y+y^2-31/6*x-19/6*y+53/6]

[41971/333333, x^2-39/4*x*y+8*y^2-9/4*x-121/4*y+197/4]

[41984/333333, x^2-5/3*x*y+y^2-8/3*x-8/3*y+19/3]

[1135/9009, x^2-193/192*x*y+9/16*y^2-955/192*x-115/192*y+947/192]

[126062/999999, x^2+5/4*x*y+y^2-19/2*x-19/2*y+21]

[14018/111111, x^2+x*y+y^2-9*x-9*y+20]

[3235/25641, x^2+8/5*x*y+4*y^2-63/5*x-168/5*y+298/5]

[6010/47619, x^2-5*x*y+y^2+3*x+3*y-4]

[42071/333333, x^2-2*x*y+y^2-3*x-3*y+8]

[11474/90909, x^2-x*y+y^2-5*x-5*y+12]

[126215/999999, x^2+16+y^2-7*x-7*y]

[14024/111111, x^2+x*y+y^2-9*x-9*y+20]

[126218/999999, x^2+3*x*y+y^2-13*x-13*y+28]

[42073/333333, x^2+4*x*y+y^2-15*x-15*y+32]

[126250/999999, x^2-5/3*x*y-1/3*y^2-11/3*x+7*y-20/3]

[42092/333333, x^2-1/2*x*y-1/5*y^2-6*x+18/5*y-2/5]

[126362/999999, x^2+1/2*x*y+y^2-8*x-8*y+18]

[6022/47619, x^2+1/4*x*y+y^2-15/2*x-15/2*y+17]

[3244/25641, x^2+8/5*x*y+4*y^2-63/5*x-168/5*y+298/5]

[6025/47619, x^2-2/3*x*y-1/4*y^2-14/3*x+49/12*y-13/6]

[380/3003, x^2-49/47*x*y-13/47*y^2-135/47*x+225/47*y-212/47]

[126562/999999, x^2+16+y^2-7*x-7*y]

[163/1287, x^2-2/5*x*y+1/4*y^2-28/5*x-7/20*y+51/10]

[1142/9009, x^2-1/2*x*y+y^2-6*x-6*y+14]

[126862/999999, x^2-3/4*x*y+y^2-11/2*x-11/2*y+13]

[127/1001, x^2-76/89*x*y+104/89*y^2-459/89*x-594/89*y+1294/89]

[11542/90909, x^2-x*y+y^2-5*x-5*y+12]

[8/63, x^2-x*y+y^2-5*x-5*y+12]

[11552/90909, x^2+6/5*x*y+y^2-52/5*x-52/5*y+119/5]

[127172/999999, x^2+x*y+y^2-10*x-10*y+23]

[6056/47619, x^2+5/3*x*y+5*y^2-44/3*x-140/3*y+251/3]

[127210/999999, x^2-6*x*y+y^2+4*x+4*y-5]

[127213/999999, x^2-3*x*y+y^2-2*x-2*y+7]

[127214/999999, x^2-2*x*y+y^2-4*x-4*y+11]

[1285/10101, x^2-x*y+y^2-6*x-6*y+15]

[127216/999999, x^2+19+y^2-8*x-8*y]

[127217/999999, x^2+x*y+y^2-10*x-10*y+23]

[127219/999999, x^2+3*x*y+y^2-14*x-14*y+31]

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[10/77, x^2-74/109*x*y-59/109*y^2-648/109*x+864/109*y-805/109]

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[12/91, x^2+4/7*x*y+y^2-81/7*x-81/7*y+242/7]

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[44041/333333, x^2+x*y+y^2-6*x-6*y+11]

[397/3003, x^2-4*x*y-2*y^2+3*x+12*y-10]

[6296/47619, x^2+3*x*y+1/2*y^2-11*x-15/2*y+19]

[132310/999999, x^2+2+y^2-3*x-3*y]

[1192/9009, x^2+x*y+y^2-6*x-6*y+11]

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[14702/111111, x^2+4*x*y+y^2-15*x-15*y+38]

[12029/90909, x^2+9/2*x*y+y^2-33/2*x-33/2*y+85/2]

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[398/3003, x^2+13/2*x*y+4*y^2-51/2*x-87/2*y+199/2]

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[14747/111111, x^2+7*x*y+y^2-24*x-24*y+65]

[92/693, x^2+49/19*x*y+67/19*y^2-348/19*x-732/19*y+1775/19]

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[19/143, x^2+76/41*x*y+131/41*y^2-711/41*x-1521/41*y+3826/41]

[18989/142857, x^2+9*x*y+y^2-30*x-30*y+83]

[1198/9009, x^2+109/76*x*y+113/38*y^2-1305/76*x-2805/76*y+7283/76]

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[172/1287, x^2-6*x*y-3/2*y^2+14*x+63/2*y-78]

[1205/9009, x^2-4*x*y-2*y^2+8*x+32*y-75]

[134/1001, x^2-10/3*x*y-5/2*y^2+6*x+75/2*y-87]

[1207/9009, x^2-3*x*y-3*y^2+5*x+45*y-105]

[44701/333333, x^2+3*x*y-3*y^2-10*x+6*y+9]

[44714/333333, x^2+2/3*x*y+1/2*y^2-20/3*x-25/6*y+35/3]

[134143/999999, x^2+x*y+y^2-8*x-8*y+19]

[44738/333333, x^2+2/3*x*y+1/2*y^2-20/3*x-25/6*y+35/3]

[6392/47619, x^2+4*x*y-2*y^2-15*x+20]

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[110/819, x^2-x*y+y^2-2*x-2*y+1]

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[134314/999999, x^2+x*y+y^2-8*x-8*y+19]

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[134317/999999, x^2+5/2*x*y+y^2-25/2*x-25/2*y+65/2]

[134318/999999, x^2+3*x*y+y^2-14*x-14*y+37]

[44773/333333, x^2+7/2*x*y+y^2-31/2*x-31/2*y+83/2]

[44788/333333, x^2-4*x*y-2/3*y^2+7*x+56/3*y-46]

[134410/999999, x^2-x*y+3/2*y^2-3*x-7/2*y+2]

[173/1287, x^2-4/3*x*y+2*y^2-5/3*x-20/3*y+20/3]

[404/3003, x^2-13/2*x*y+4*y^2+27/2*x-9/2*y-35/2]

[134543/999999, x^2-3*x*y+y^2+4*x+4*y-17]

[4078/30303, x^2-11/3*x*y+y^2+14/3*x+26/3*y-89/3]

[4985/37037, x^2-25/8*x*y+1/4*y^2+21/8*x+105/8*y-287/8]

[1213/9009, x^2-4*x*y+y^2+7*x+7*y-26]

[19249/142857, x^2-5*x*y+y^2+10*x+10*y-35]

[1214/9009, x^2-73/27*x*y+1/9*y^2+76/27*x+268/27*y-715/27]

[134843/999999, x^2-6*x*y+y^2+13*x+13*y-44]

[135/1001, x^2-124/59*x*y-16/59*y^2+27/59*x+702/59*y-1676/59]

[44981/333333, x^2-7*x*y+y^2+16*x+16*y-53]

[714/5291, x^2-4*x*y-1/2*y^2+4*x+47/2*y-59]

[1364/10101, x^2+22/3*x*y+y^2-23*x-33*y+90]

[135053/999999, x^2+3/2*x*y+y^2-21/2*x-21/2*y+55/2]

[15017/111111, x^2+x*y+y^2-9*x-9*y+23]

[1366/10101, x^2+8*x*y+y^2-27*x-33*y+92]

[135253/999999, x^2+1/2*x*y+y^2-15/2*x-15/2*y+37/2]

[19330/142857, x^2-3/2*x*y+y^2-3/2*x-3/2*y+1/2]

[45104/333333, x^2-1/2*x*y+y^2-9/2*x-9/2*y+19/2]

[135314/999999, x^2+1/2*x*y+y^2-15/2*x-15/2*y+37/2]

[15035/111111, x^2+x*y+y^2-9*x-9*y+23]

[135316/999999, x^2+3/2*x*y+y^2-21/2*x-21/2*y+55/2]

[45106/333333, x^2+5/2*x*y+y^2-27/2*x-27/2*y+73/2]

[135319/999999, x^2+3*x*y+y^2-15*x-15*y+41]

[45125/333333, x^2-2*x*y-1/2*y^2-53/2+12*y]

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[142124/999999, x^2+x*y+y^2-7*x-7*y+14]

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[47473/333333, x^2+10/3*x*y+y^2-49/3*x-49/3*y+154/3]

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[428/3003, x^2+3*x*y+y^2-15*x-15*y+46]

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[1286/9009, x^2+61/24*x*y+9/4*y^2-109/6*x-169/6*y+251/3]

[4328/30303, x^2+9/2*x*y+y^2-21*x-21*y+70]

[1/7, x^2+36/19*x*y+41/19*y^2-333/19*x-531/19*y+1638/19]

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[184/1287, x^2+169/113*x*y+233/113*y^2-1975/113*x-3175/113*y+10158/113]

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[2/13, x^2+124/19*x*y+52/19*y^2-729/19*x-54*y+3920/19]

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[12/77, x^2+6*x*y-3/4*y^2-36*x-81/4*y+125]

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[52895/333333, x^2-2/3*x*y+y^2-17/3*x-17/3*y+34/3]

[10/63, x^2-x*y+y^2-4*x-4*y+3]

[14435/90909, x^2-x*y+y^2-4*x-4*y+3]

[159/1001, x^2-8/7*x*y+4/3*y^2-27/7*x-48/7*y+200/21]

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[4829/30303, x^2+8*x*y+y^2-44*x-56*y+258]

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[53173/333333, x^2+x*y+y^2-15*x-15*y+59]

[5909/37037, x^2-25/2*x*y+4*y^2+105/2*x+21/2*y-287/2]

[4838/30303, x^2-11/2*x*y+y^2+41/2*x+29/2*y-183/2]

[159695/999999, x^2-1/4*x*y+y^2-35/4*x-35/4*y+111/4]

[53255/333333, x^2-25/8*x*y+1/4*y^2+69/8*x+105/8*y-527/8]

[17755/111111, x^2-1/2*x*y+y^2-15/2*x-15/2*y+43/2]

[160/1001, x^2-152/151*x*y+121/151*y^2-675/151*x-405/151*y+284/151]

[692/4329, x^2-7/6*x*y+y^2-19/6*x-31/6*y+53/6]

[159895/999999, x^2-3/4*x*y+y^2-25/4*x-25/4*y+61/4]

[131/819, x^2-x*y+y^2-5*x-5*y+9]

[160046/999999, x^2+1/6*x*y+1/3*y^2-6*x-4/3*y]

[160096/999999, x^2-2/3*x*y-1/2*y^2-6*x+9/2*y]

[160106/999999, x^2+x*y+y^2-7*x-7*y+6]

[53392/333333, x^2-2/5*x*y-1/6*y^2-28/5*x+77/30*y-12/5]

[53402/333333, x^2+7/6*x*y+y^2-8*x-8*y+12]

[160306/999999, x^2+4/3*x*y+y^2-9*x-9*y+18]

[160406/999999, x^2+3/2*x*y+y^2-10*x-10*y+24]

[482/3003, x^2+5/3*x*y+y^2-11*x-11*y+30]

[160610/999999, x^2+x*y+y^2-7*x-7*y+6]

[160612/999999, x^2+7/5*x*y+y^2-47/5*x-47/5*y+102/5]

[160613/999999, x^2+8/5*x*y+y^2-53/5*x-53/5*y+138/5]

[17846/111111, x^2+9/5*x*y+y^2-59/5*x-59/5*y+174/5]

[1447/9009, x^2+12/5*x*y+y^2-77/5*x-77/5*y+282/5]

[160618/999999, x^2+13/5*x*y+y^2-83/5*x-83/5*y+318/5]

[160619/999999, x^2+14/5*x*y+y^2-89/5*x-89/5*y+354/5]

[850/5291, x^2+5/3*x*y+5*y^2-11*x-35*y+30]

[1448/9009, x^2+109/62*x*y+22/31*y^2-466/31*x-394/31*y+1680/31]

[53602/333333, x^2+13/6*x*y+y^2-14*x-14*y+48]

[23/143, x^2+122/87*x*y+39/58*y^2-444/29*x-717/58*y+1620/29]

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[18/91, x^2+148/127*x*y+358/127*y^2-1809/127*x-3888/127*y+6344/127]

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[215/1001, x^2-18/13*x*y+17/13*y^2-36/13*x-72/13*y+111/13]

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[176/819, x^2-x*y+y^2-5*x-5*y+12]

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[215120/999999, x^2+6*x*y+y^2-13*x-13*y+22]

[215123/999999, x^2+3*x*y+y^2-10*x-10*y+19]

[215125/999999, x^2+x*y+y^2-8*x-8*y+17]

[215126/999999, x^2+16+y^2-7*x-7*y]

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[215128/999999, x^2-2*x*y+y^2-5*x-5*y+14]

[215129/999999, x^2-3*x*y+y^2-4*x-4*y+13]

[3415/15873, x^2+1/2*x*y+1/3*y^2-15/2*x-7/2*y+79/6]

[215251/999999, x^2+x*y+y^2-8*x-8*y+17]

[71752/333333, x^2+8/3*x*y-4*y^2-49/3*x+56/3*y+26/3]

[215351/999999, x^2+3/4*x*y+y^2-31/4*x-31/4*y+67/4]

[647/3003, x^2+1/2*x*y+y^2-15/2*x-15/2*y+33/2]

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[71875/333333, x^2+8/3*x*y-4*y^2-49/3*x+56/3*y+26/3]

[215651/999999, x^2+16+y^2-7*x-7*y]

[1943/9009, x^2+49/13*x*y-47/13*y^2-300/13*x+180/13*y+317/13]

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[216061/999999, x^2+7/5*x*y+y^2-47/5*x-47/5*y+102/5]

[72040/333333, x^2+7*x*y+y^2-15*x-15*y+26]

[72041/333333, x^2+4*x*y+y^2-12*x-12*y+23]

[216124/999999, x^2+3*x*y+y^2-11*x-11*y+22]

[24014/111111, x^2+x*y+y^2-9*x-9*y+20]

[216127/999999, x^2+19+y^2-8*x-8*y]

[19648/90909, x^2-x*y+y^2-7*x-7*y+18]

[72043/333333, x^2-2*x*y+y^2-6*x-6*y+17]

[10292/47619, x^2+3*x*y+1/2*y^2-11*x-15/2*y+19]

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[24029/111111, x^2+x*y+y^2-9*x-9*y+20]

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[216373/999999, x^2+5*x*y-3*y^2-28*x+12*y+33]

[50/231, x^2+49/19*x*y+67/19*y^2-261/19*x-549/19*y+830/19]

[30923/142857, x^2+3/5*x*y+y^2-43/5*x-43/5*y+98/5]

[1951/9009, x^2+2/5*x*y+y^2-42/5*x-42/5*y+97/5]

[1952/9009, x^2+1/2*x*y-1/5*y^2-10*x-2/5*y+78/5]

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[216761/999999, x^2+19+y^2-8*x-8*y]

[31/143, x^2+38/17*x*y-43/17*y^2-324/17*x+216/17*y+331/17]

[72287/333333, x^2-1/5*x*y+y^2-39/5*x-39/5*y+94/5]

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[24119/111111, x^2+4/3*x*y+y^2-31/3*x-31/3*y+70/3]

[217120/999999, x^2+8*x*y+y^2-17*x-17*y+30]

[217123/999999, x^2+5*x*y+y^2-14*x-14*y+27]

[217124/999999, x^2+4*x*y+y^2-13*x-13*y+26]

[24125/111111, x^2+3*x*y+y^2-12*x-12*y+25]

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[218/1001, x^2+2/5*x*y-1/6*y^2-54/5*x-3/10*y+259/15]

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[24203/111111, x^2+12/5*x*y-6*y^2-99/5*x+216/5*y-32/5]

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[151/693, x^2+109/68*x*y-71/34*y^2-1225/68*x+875/68*y+1227/68]

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[218123/999999, x^2+6*x*y+y^2-16*x-16*y+31]

[24236/111111, x^2+5*x*y+y^2-15*x-15*y+30]

[218125/999999, x^2+4*x*y+y^2-14*x-14*y+29]

[218126/999999, x^2+3*x*y+y^2-13*x-13*y+28]

[218128/999999, x^2+x*y+y^2-11*x-11*y+26]

[218129/999999, x^2+25+y^2-10*x-10*y]

[24242/111111, x^2+2/7*x*y+1/6*y^2-72/7*x-39/14*y+391/21]

[31183/142857, x^2+x*y+y^2-11*x-11*y+26]

[72763/333333, x^2+7/3*x*y-7*y^2-65/3*x+175/3*y-50/3]

[218381/999999, x^2+6/7*x*y+y^2-76/7*x-76/7*y+181/7]

[72827/333333, x^2+5/7*x*y+y^2-75/7*x-75/7*y+180/7]

[19871/90909, x^2+4/7*x*y+y^2-74/7*x-74/7*y+179/7]

[1970/9009, x^2+109/76*x*y+113/38*y^2-261/19*x-561/19*y+896/19]

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[219/1001, x^2+2/7*x*y+y^2-72/7*x-72/7*y+177/7]

[1972/9009, x^2+1/3*x*y-1/7*y^2-35/3*x-5/21*y+400/21]

[72973/333333, x^2+1/4*x*y+1/7*y^2-45/4*x-75/28*y+575/28]

[72976/333333, x^2+7/3*x*y-7*y^2-65/3*x+175/3*y-50/3]

[31283/142857, x^2+25+y^2-10*x-10*y]

[219091/999999, x^2+5/4*x*y+y^2-49/4*x-49/4*y+117/4]

[6640/30303, x^2+10*x*y+y^2-21*x-21*y+38]

[24347/111111, x^2+7*x*y+y^2-18*x-18*y+35]

[219124/999999, x^2+6*x*y+y^2-17*x-17*y+34]

[219125/999999, x^2+5*x*y+y^2-16*x-16*y+33]

[73042/333333, x^2+4*x*y+y^2-15*x-15*y+32]

[219127/999999, x^2+3*x*y+y^2-14*x-14*y+31]

[73043/333333, x^2+x*y+y^2-12*x-12*y+29]

[73063/333333, x^2+1/4*x*y+1/7*y^2-45/4*x-75/28*y+575/28]

[73097/333333, x^2+x*y+y^2-12*x-12*y+29]

[219391/999999, x^2+7/8*x*y+y^2-95/8*x-95/8*y+231/8]

[219491/999999, x^2+3/4*x*y+y^2-47/4*x-47/4*y+115/4]

[219545/999999, x^2-7/6*x*y-4/3*y^2-43/6*x+83/6*y+1/6]

[8133/37037, x^2+5/8*x*y+y^2-93/8*x-93/8*y+229/8]

[219691/999999, x^2+1/2*x*y+y^2-23/2*x-23/2*y+57/2]

[20/91, x^2+148/127*x*y+358/127*y^2-1809/127*x-3888/127*y+6344/127]

[1537/6993, x^2+3/8*x*y+y^2-91/8*x-91/8*y+227/8]

[283/1287, x^2+1/4*x*y+y^2-45/4*x-45/4*y+113/4]

[661/3003, x^2-4*x*y-2*y^2+3*x+12*y-10]

[1985/9009, x^2+4*x*y-2/3*y^2-15*x-20/3*y+26]

[662/3003, x^2+2*x*y-1/2*y^2-12*x-3*y+20]

[1987/9009, x^2+4/3*x*y-2/5*y^2-35/3*x-28/15*y+58/3]

[284/1287, x^2+x*y-1/3*y^2-12*x-4/3*y+20]

[17/77, x^2+4/5*x*y-2/7*y^2-63/5*x-36/35*y+106/5]

[181/819, x^2-x*y+y^2-x-y]

[1994/9009, x^2+2*x*y-1/2*y^2-10*x-5/2*y+15]

[95/429, x^2+x*y-1/3*y^2-9*x-y+40/3]

[73849/333333, x^2+6/5*x*y-1/5*y^2-57/5*x-9/5*y+92/5]

[1996/9009, x^2+2/3*x*y-1/4*y^2-28/3*x-7/12*y+85/6]

[10553/47619, x^2+3*x*y+1/2*y^2-11*x-15/2*y+19]

[1997/9009, x^2+1/2*x*y-1/5*y^2-10*x-2/5*y+78/5]

[222/1001, x^2+2/5*x*y-1/6*y^2-54/5*x-3/10*y+259/15]

[1999/9009, x^2+1/3*x*y-1/7*y^2-35/3*x-5/21*y+400/21]

[670/3003, x^2+2*x*y-1/2*y^2-6*x-3/2*y+5]

[74387/333333, x^2+6*x*y+2*y^2-15*x-22*y+38]

[61/273, x^2-x*y+y^2-3*x-3*y+8]

[2014/9009, x^2-2/3*x*y+1/2*y^2-14/3*x-7/6*y+25/3]

[223565/999999, x^2-2/3*x*y+2/3*y^2-17/3*x-2*y+34/3]

[155/693, x^2-1/2*x*y+1/3*y^2-6*x-2/3*y+10]

[32/143, x^2-2/5*x*y+1/4*y^2-36/5*x-9/20*y+119/10]

[223859/999999, x^2+2/7*x*y+1/7*y^2-81/7*x-9/7*y+20]

[2017/9009, x^2-1/3*x*y+1/5*y^2-25/3*x-1/3*y+208/15]

[2018/9009, x^2-2/7*x*y+1/6*y^2-66/7*x-11/42*y+111/7]

[2021/9009, x^2-4*x*y-2*y^2+5*x+20*y-30]

[289/1287, x^2-4/3*x*y+2*y^2-7/3*x-28/3*y+50/3]

[184/819, x^2-x*y+y^2-4*x-4*y+12]

[225/1001, x^2-4/5*x*y+2/3*y^2-27/5*x-12/5*y+182/15]

[2026/9009, x^2-2/3*x*y+1/2*y^2-20/3*x-5/3*y+40/3]

[2027/9009, x^2-4/7*x*y+2/5*y^2-55/7*x-44/35*y+522/35]

[290/1287, x^2-6*x*y-3/2*y^2+10*x+45/2*y-39]

[677/3003, x^2-3*x*y-3*y^2+3*x+27*y-40]

[225653/999999, x^2-x*y+3/2*y^2-3*x-17/2*y+17]

[2033/9009, x^2-3/2*x*y+3*y^2-2*x-18*y+30]

[226/1001, x^2-6/5*x*y+3/2*y^2-18/5*x-81/10*y+91/5]

[185/819, x^2-x*y+y^2-5*x-5*y+16]

[2036/9009, x^2-6/7*x*y+3/4*y^2-44/7*x-99/28*y+225/14]

[680/3003, x^2-4*x*y-2*y^2+6*x+24*y-40]

[157/693, x^2-8/3*x*y-4*y^2+7/3*x+112/3*y-170/3]

[227/1001, x^2-8/5*x*y+4*y^2-9/5*x-144/5*y+238/5]

[226838/999999, x^2+1/6*x*y+1/3*y^2-31/3*x-3*y+62/3]

[292/1287, x^2-4/3*x*y+2*y^2-10/3*x-40/3*y+80/3]

[2045/9009, x^2-8/7*x*y+4/3*y^2-33/7*x-176/21*y+150/7]

[10831/47619, x^2-6*x*y-5*y^2+9*x+57*y-92]

[2050/9009, x^2-10/3*x*y-5/2*y^2+14/3*x+175/6*y-145/3]

[293/1287, x^2-5/2*x*y-5*y^2+2*x+50*y-78]

[2053/9009, x^2-5/3*x*y+5*y^2-5/3*x-125/3*y+208/3]

[158/693, x^2-10/7*x*y+5/2*y^2-22/7*x-275/14*y+261/7]

[228386/999999, x^2+1/2*x*y+3*y^2-9*x-31*y+62]

[2060/9009, x^2-3*x*y-3*y^2+4*x+36*y-60]

[229/1001, x^2-12/5*x*y-6*y^2+9/5*x+324/5*y-518/5]

[2063/9009, x^2-12/7*x*y+6*y^2-11/7*x-396/7*y+666/7]

[229583/999999, x^2+2*x*y+7*y^2-9*x-81*y+140]

[230/1001, x^2-14/5*x*y-7/2*y^2+18/5*x+441/10*y-371/5]

[2071/9009, x^2-7/3*x*y-7*y^2+5/3*x+245/3*y-400/3]

[691/3003, x^2+2/3*x*y+y^2-4*x-4*y+3]

[230203/999999, x^2+x*y+y^2-5*x-5*y+6]

[2074/9009, x^2+13/2*x*y+4*y^2-17*x-29*y+42]

[6977/30303, x^2+8*x*y+y^2-17*x-23*y+42]

[76751/333333, x^2-4*x*y-2/3*y^2+5*x+40/3*y-24]

[8530/37037, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3]

[230320/999999, x^2+x*y+y^2-5*x-5*y+6]

[230324/999999, x^2+5*x*y+y^2-17*x-17*y+42]

[2075/9009, x^2+6*x*y+y^2-20*x-20*y+51]

[230326/999999, x^2+7*x*y+y^2-23*x-23*y+60]

[230327/999999, x^2+8*x*y+y^2-26*x-26*y+69]

[3656/15873, x^2+9*x*y+y^2-29*x-29*y+78]

[20939/90909, x^2+10*x*y+y^2-32*x-32*y+87]

[76801/333333, x^2+5/3*x*y+y^2-7*x-7*y+12]

[692/3003, x^2+73/27*x*y+1/9*y^2-127/9*x-79/9*y+100/3]

[2077/9009, x^2+62/37*x*y+1/37*y^2-476/37*x-224/37*y+1095/37]

[76852/333333, x^2+6/5*x*y-1/5*y^2-11*x-19/5*y+24]

[230603/999999, x^2+7/3*x*y+y^2-9*x-9*y+18]

[2078/9009, x^2+63/52*x*y+1/26*y^2-167/13*x-67/13*y+384/13]

[6991/30303, x^2+8/3*x*y+y^2-10*x-10*y+21]

[3/13, x^2+134/141*x*y+3/47*y^2-624/47*x-228/47*y+1449/47]

[230803/999999, x^2+3*x*y+y^2-11*x-11*y+24]

[231013/999999, x^2+2+y^2-3*x-3*y]

[3667/15873, x^2+4*x*y-2*y^2-9*x+8]

[25670/111111, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3]

[694/3003, x^2+2*x*y-1/2*y^2-6*x-3/2*y+5]

[3670/15873, x^2+4*x*y-2*y^2-9*x+8]

[2083/9009, x^2+x*y+y^2-6*x-6*y+11]

[77081/333333, x^2-2*x*y-1/2*y^2-10+15/2*y]

[231320/999999, x^2+2+y^2-3*x-3*y]

[77107/333333, x^2+x*y+y^2-6*x-6*y+11]

[2084/9009, x^2+4*x*y+y^2-15*x-15*y+38]

[231325/999999, x^2+5*x*y+y^2-18*x-18*y+47]

[231326/999999, x^2+6*x*y+y^2-21*x-21*y+56]

[25703/111111, x^2+7*x*y+y^2-24*x-24*y+65]

[231328/999999, x^2+8*x*y+y^2-27*x-27*y+74]

[33047/142857, x^2+9*x*y+y^2-30*x-30*y+83]

[695/3003, x^2+13/8*x*y+1/4*y^2-87/8*x-51/8*y+199/8]

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[255/1001, x^2+6*x*y+y^2-36*x-36*y+163]

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[328/1287, x^2+73/3*x*y+9*y^2-395/3*x-635/3*y+2548/3]

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[256/1001, x^2+4*x*y-2/3*y^2-27*x-12*y+260/3]

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[85405/333333, x^2+8/3*x*y-4*y^2-49/3*x+56/3*y+26/3]

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[256265/999999, x^2+x*y+y^2-13*x-13*y+52]

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[85451/333333, x^2+3*x*y-3*y^2-20*x+12*y+21]

[9495/37037, x^2+27+y^2-8*x-8*y]

[10/39, x^2-x*y+y^2-3*x-3*y+2]

[23315/90909, x^2-x*y+y^2-3*x-3*y+2]

[23320/90909, x^2-x*y+y^2-3*x-3*y+2]

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[85508/333333, x^2+1/3*x*y+y^2-29/3*x-29/3*y+106/3]

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[9501/37037, x^2+4/3*x*y+y^2-44/3*x-44/3*y+181/3]

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[11490/37037, x^2+2/3*x*y+1/2*y^2-4*x-5/2*y+3]

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[428/1287, x^2+x*y-1/3*y^2-12*x-4/3*y+25]

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[333/1001, x^2+2/3*x*y-1/4*y^2-12*x-3/4*y+51/2]

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[2999/9009, x^2+2/5*x*y-1/6*y^2-66/5*x-11/30*y+148/5]

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