>    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 333334/999999 to 666666/999999 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);

7872

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

[430/1287, x^2+x*y-1/3*y^2-6*x-2/3*y+5]

[3011/9009, x^2+2*x*y-1/2*y^2-10*x-5/2*y+15]

[111424/333333, x^2+6*x*y+2*y^2-23*x-32*y+84]

[274/819, x^2-x*y+y^2-4*x-4*y+15]

[335/1001, x^2-2/3*x*y+1/2*y^2-6*x-3/2*y+15]

[334676/999999, x^2-2/3*x*y+2/3*y^2-7*x-8/3*y+20]

[232/693, x^2-1/2*x*y+1/3*y^2-15/2*x-5/6*y+35/2]

[431/1287, x^2-2/5*x*y+1/4*y^2-44/5*x-11/20*y+102/5]

[1006/3003, x^2-1/3*x*y+1/5*y^2-10*x-2/5*y+117/5]

[3020/9009, x^2+4*x*y-2/3*y^2-15*x-20/3*y+26]

[3022/9009, x^2-4*x*y-2*y^2+7*x+28*y-60]

[48/143, x^2-4/3*x*y+2*y^2-3*x-12*y+30]

[275/819, x^2-x*y+y^2-5*x-5*y+21]

[3026/9009, x^2-4/5*x*y+2/3*y^2-33/5*x-44/15*y+104/5]

[1009/3003, x^2-2/3*x*y+1/2*y^2-8*x-2*y+45/2]

[433/1287, x^2-6*x*y-3/2*y^2+14*x+63/2*y-78]

[3032/9009, x^2-3*x*y-3*y^2+4*x+36*y-75]

[336764/999999, x^2-x*y+3/2*y^2-4*x-21/2*y+30]

[3034/9009, x^2-3/2*x*y+3*y^2-5/2*x-45/2*y+105/2]

[3035/9009, x^2-6/5*x*y+3/2*y^2-22/5*x-99/10*y+156/5]

[92/273, x^2-x*y+y^2-6*x-6*y+27]

[3040/9009, x^2-8*x*y-4/3*y^2+21*x+112/3*y-100]

[3041/9009, x^2-4*x*y-2*y^2+8*x+32*y-75]

[26/77, x^2-8/3*x*y-4*y^2+3*x+48*y-102]

[3044/9009, x^2-8/5*x*y+4*y^2-11/5*x-176/5*y+408/5]

[337949/999999, x^2+1/6*x*y+1/3*y^2-25/2*x-23/6*y+71/2]

[145/429, x^2-4/3*x*y+2*y^2-4*x-16*y+45]

[3050/9009, x^2-5*x*y-5/3*y^2+12*x+100/3*y-85]

[5374/15873, x^2-6*x*y-5*y^2+13*x+73*y-168]

[339/1001, x^2-10/3*x*y-5/2*y^2+6*x+75/2*y-87]

[436/1287, x^2-5/2*x*y-5*y^2+5/2*x+125/2*y-273/2]

[1018/3003, x^2-5/3*x*y+5*y^2-2*x-50*y+117]

[339497/999999, x^2+1/2*x*y+3*y^2-23/2*x-75/2*y+213/2]

[340/1001, x^2-4*x*y-2*y^2+9*x+36*y-90]

[3061/9009, x^2-3*x*y-3*y^2+5*x+45*y-105]

[3062/9009, x^2-12/5*x*y-6*y^2+11/5*x+396/5*y-888/5]

[3064/9009, x^2+1/2*x*y+y^2-5*x-5*y+4]

[16196/47619, x^2-6*x*y-5*y^2+5*x+41*y-36]

[340204/999999, x^2+3/4*x*y+y^2-6*x-6*y+8]

[340304/999999, x^2+x*y+y^2-7*x-7*y+12]

[146/429, x^2+73/3*x*y+9*y^2-79*x-127*y+300]

[1146/3367, x^2+29/3*x*y+y^2-31*x-39*y+108]

[113458/333333, x^2-6*x*y-3/4*y^2+14*x+105/4*y-72]

[16210/47619, x^2+1/2*x*y+1/3*y^2-5*x-7/3*y+4]

[340430/999999, x^2+x*y+y^2-7*x-7*y+12]

[340432/999999, x^2+3*x*y+y^2-15*x-15*y+44]

[340435/999999, x^2+6*x*y+y^2-27*x-27*y+92]

[340436/999999, x^2+7*x*y+y^2-31*x-31*y+108]

[3067/9009, x^2+8*x*y+y^2-35*x-35*y+124]

[48634/142857, x^2+9*x*y+y^2-39*x-39*y+140]

[30949/90909, x^2+10*x*y+y^2-43*x-43*y+156]

[340504/999999, x^2+3/2*x*y+y^2-9*x-9*y+20]

[236/693, x^2+241/64*x*y+1/16*y^2-369/16*x-249/16*y+305/4]

[30964/90909, x^2+7/4*x*y+y^2-10*x-10*y+24]

[31/91, x^2+364/153*x*y-4/51*y^2-335/17*x-10*y+1068/17]

[340804/999999, x^2+9/4*x*y+y^2-12*x-12*y+32]

[340904/999999, x^2+5/2*x*y+y^2-13*x-13*y+36]

[341014/999999, x^2+3+y^2-4*x-4*y]

[113677/333333, x^2+3*x*y-3*y^2-10*x+6*y+9]

[16240/47619, x^2+1/2*x*y+1/3*y^2-5*x-7/3*y+4]

[341084/999999, x^2-7/6*x*y-4/3*y^2-19/3*x+10*y+16/3]

[439/1287, x^2+x*y-1/3*y^2-6*x-2/3*y+5]

[3074/9009, x^2+2/3*x*y+y^2-20/3*x-20/3*y+41/3]

[113770/333333, x^2+3*x*y-3*y^2-10*x+6*y+9]

[341314/999999, x^2+x*y+y^2-8*x-8*y+19]

[1025/3003, x^2+13/2*x*y+4*y^2-51/2*x-87/2*y+199/2]

[3448/10101, x^2+8*x*y+y^2-27*x-33*y+92]

[113788/333333, x^2-4*x*y-2/3*y^2+7*x+56/3*y-46]

[113807/333333, x^2+2/3*x*y+1/2*y^2-20/3*x-25/6*y+35/3]

[113810/333333, x^2+3+y^2-4*x-4*y]

[341431/999999, x^2+x*y+y^2-8*x-8*y+19]

[341435/999999, x^2+5*x*y+y^2-24*x-24*y+83]

[3076/9009, x^2+6*x*y+y^2-28*x-28*y+99]

[341437/999999, x^2+7*x*y+y^2-32*x-32*y+115]

[341438/999999, x^2+8*x*y+y^2-36*x-36*y+131]

[16259/47619, x^2+9*x*y+y^2-40*x-40*y+147]

[37946/111111, x^2+5/3*x*y+y^2-32/3*x-32/3*y+89/3]

[3077/9009, x^2+73/27*x*y+1/9*y^2-508/27*x-316/27*y+1621/27]

[342/1001, x^2+62/37*x*y+1/37*y^2-612/37*x-288/37*y+1895/37]

[37963/111111, x^2+6/5*x*y-1/5*y^2-71/5*x-23/5*y+204/5]

[341714/999999, x^2+7/3*x*y+y^2-40/3*x-40/3*y+121/3]

[3079/9009, x^2+63/52*x*y+1/26*y^2-835/52*x-335/52*y+2589/52]

[10358/30303, x^2+8/3*x*y+y^2-44/3*x-44/3*y+137/3]

[341914/999999, x^2+3*x*y+y^2-16*x-16*y+51]

[114008/333333, x^2-1/2*x*y+y^2-3*x-3*y+2]

[3082/9009, x^2-13/2*x*y+4*y^2+9*x-3*y-10]

[342124/999999, x^2+10+y^2-5*x-5*y]

[16292/47619, x^2+4*x*y-2*y^2-15*x+20]

[114047/333333, x^2+2/3*x*y+1/2*y^2-20/3*x-25/6*y+35/3]

[3083/9009, x^2+2*x*y-1/2*y^2-10*x-5/2*y+15]

[16301/47619, x^2+4*x*y-2*y^2-15*x+20]

[1028/3003, x^2+x*y+y^2-9*x-9*y+26]

[114118/333333, x^2-2*x*y-1/2*y^2-19+21/2*y]

[31130/90909, x^2-x*y+y^2-x-y-6]

[342431/999999, x^2+10+y^2-5*x-5*y]

[38048/111111, x^2+x*y+y^2-9*x-9*y+26]

[3085/9009, x^2+4*x*y+y^2-21*x-21*y+74]

[342436/999999, x^2+5*x*y+y^2-25*x-25*y+90]

[342437/999999, x^2+6*x*y+y^2-29*x-29*y+106]

[114146/333333, x^2+7*x*y+y^2-33*x-33*y+122]

[342439/999999, x^2+8*x*y+y^2-37*x-37*y+138]

[3086/9009, x^2+13/8*x*y+1/4*y^2-29/2*x-17/2*y+45]

[114241/333333, x^2+6*x*y+2*y^2-23*x-32*y+84]

[342724/999999, x^2+3*x*y+y^2-17*x-17*y+58]

[3088/9009, x^2+49/67*x*y+19/67*y^2-915/67*x-435/67*y+2990/67]

[342824/999999, x^2+7/2*x*y+y^2-19*x-19*y+66]

[3089/9009, x^2+76/131*x*y+41/131*y^2-1859/131*x-869/131*y+6306/131]

[114308/333333, x^2+4*x*y+y^2-21*x-21*y+74]

[343001/999999, x^2-2/3*x*y+2/3*y^2-3*x-2/3*y]

[343009/999999, x^2-10/3*x*y-2*y^2-3*x+18*y]

[343010/999999, x^2+3+y^2-4*x-4*y]

[343019/999999, x^2-6*x*y-2*y^2+5*x+26*y-24]

[114340/333333, x^2+1/3*x*y+y^2-5*x-5*y+6]

[343040/999999, x^2+x*y+y^2-7*x-7*y+12]

[114349/333333, x^2+8*x*y-4/3*y^2-35*x-56/3*y+96]

[114350/333333, x^2+4/3*x*y+y^2-8*x-8*y+15]

[343060/999999, x^2+5/3*x*y+y^2-9*x-9*y+18]

[38120/111111, x^2+7/3*x*y+y^2-11*x-11*y+24]

[31190/90909, x^2+8/3*x*y+y^2-12*x-12*y+27]

[343100/999999, x^2-x*y+3/2*y^2-x-9/2*y]

[281/819, x^2-x*y+y^2-2*x-2*y+1]

[343121/999999, x^2+10+y^2-5*x-5*y]

[343141/999999, x^2+x*y+y^2-8*x-8*y+19]

[114382/333333, x^2+6*x*y-3/2*y^2-28*x-21/2*y+69]

[343151/999999, x^2+3/2*x*y+y^2-19/2*x-19/2*y+47/2]

[343171/999999, x^2+5/2*x*y+y^2-25/2*x-25/2*y+65/2]

[343181/999999, x^2+3*x*y+y^2-14*x-14*y+37]

[114397/333333, x^2+7/2*x*y+y^2-31/2*x-31/2*y+83/2]

[343202/999999, x^2-3*x*y+y^2+3*x+3*y-10]

[38138/111111, x^2+x*y+y^2-9*x-9*y+26]

[16345/47619, x^2+4*x*y-2*y^2-21*x+38]

[343262/999999, x^2+3*x*y+y^2-15*x-15*y+44]

[114424/333333, x^2+4*x*y+y^2-18*x-18*y+53]

[343282/999999, x^2+5*x*y+y^2-21*x-21*y+62]

[343292/999999, x^2+6*x*y+y^2-24*x-24*y+71]

[343505/999999, x^2+3*x*y+y^2-18*x-18*y+65]

[114514/333333, x^2-2*x*y-1/2*y^2-19+21/2*y]

[3095/9009, x^2+x*y+y^2-12*x-12*y+47]

[343565/999999, x^2+38+y^2-9*x-9*y]

[12725/37037, x^2-1/2*x*y+y^2-15/2*x-15/2*y+67/2]

[31235/90909, x^2-x*y+y^2-6*x-6*y+29]

[49085/142857, x^2-3/2*x*y+y^2-9/2*x-9/2*y+49/2]

[343606/999999, x^2+7/3*x*y+y^2-17*x-17*y+66]

[114542/333333, x^2+5/3*x*y+y^2-15*x-15*y+60]

[114547/333333, x^2-4*x*y-2/3*y^2+7*x+56/3*y-46]

[343646/999999, x^2+x*y+y^2-13*x-13*y+54]

[344/1001, x^2+2/3*x*y+y^2-12*x-12*y+51]

[343676/999999, x^2+45+y^2-10*x-10*y]

[16366/47619, x^2-1/3*x*y+y^2-9*x-9*y+42]

[343696/999999, x^2-2/3*x*y+y^2-8*x-8*y+39]

[31247/90909, x^2+7/4*x*y+y^2-65/4*x-65/4*y+271/4]

[343727/999999, x^2+3/2*x*y+y^2-31/2*x-31/2*y+131/2]

[114580/333333, x^2-6*x*y-3/4*y^2+14*x+105/4*y-72]

[343747/999999, x^2+x*y+y^2-14*x-14*y+61]

[343757/999999, x^2+3/4*x*y+y^2-53/4*x-53/4*y+235/4]

[3097/9009, x^2+1/2*x*y+y^2-25/2*x-25/2*y+113/2]

[343787/999999, x^2+52+y^2-11*x-11*y]

[114599/333333, x^2-1/4*x*y+y^2-41/4*x-41/4*y+199/4]

[343808/999999, x^2+9/5*x*y+y^2-87/5*x-87/5*y+376/5]

[12734/37037, x^2+8/5*x*y+y^2-84/5*x-84/5*y+367/5]

[343828/999999, x^2+7/5*x*y+y^2-81/5*x-81/5*y+358/5]

[114616/333333, x^2+x*y+y^2-15*x-15*y+68]

[343858/999999, x^2+4/5*x*y+y^2-72/5*x-72/5*y+331/5]

[49124/142857, x^2+3/5*x*y+y^2-69/5*x-69/5*y+322/5]

[3098/9009, x^2+2/5*x*y+y^2-66/5*x-66/5*y+313/5]

[343898/999999, x^2+59+y^2-12*x-12*y]

[343900/999999, x^2+5/3*x*y-1/2*y^2-9*x+3/2*y]

[343909/999999, x^2+5/3*x*y+y^2-18*x-18*y+81]

[49130/142857, x^2+3*x*y-1/2*y^2-13*x-5/2*y+12]

[343919/999999, x^2+3/2*x*y+y^2-35/2*x-35/2*y+159/2]

[114643/333333, x^2+4/3*x*y+y^2-17*x-17*y+78]

[343949/999999, x^2+x*y+y^2-16*x-16*y+75]

[1489/4329, x^2+5/6*x*y+y^2-31/2*x-31/2*y+147/2]

[343969/999999, x^2+2/3*x*y+y^2-15*x-15*y+72]

[343979/999999, x^2+1/2*x*y+y^2-29/2*x-29/2*y+141/2]

[1033/3003, x^2+1/3*x*y+y^2-14*x-14*y+69]

[3100/9009, x^2-3/2*x*y+3*y^2-x-9*y]

[344101/999999, x^2-x*y+3/2*y^2-3*x-7/2*y+2]

[443/1287, x^2-4/3*x*y+2*y^2-5/3*x-20/3*y+20/3]

[94/273, x^2-x*y+y^2-3*x-3*y+8]

[16405/47619, x^2+3*x*y+1/2*y^2-19*x-33/2*y+70]

[38282/111111, x^2+6*x*y+2*y^2-31*x-42*y+148]

[345/1001, x^2-4*x*y-2*y^2+9*x+36*y-100]

[3106/9009, x^2-3*x*y-3*y^2+5*x+45*y-120]

[239/693, x^2-8/3*x*y-4*y^2+11/3*x+176/3*y-476/3]

[16427/47619, x^2-6*x*y-5*y^2+17*x+89*y-264]

[148/429, x^2-5/2*x*y-5*y^2+3*x+75*y-208]

[10456/30303, x^2+23/2*x*y+y^2-49*x-59*y+220]

[115018/333333, x^2+4*x*y+y^2-24*x-24*y+95]

[10459/30303, x^2+29/3*x*y+y^2-128/3*x-152/3*y+569/3]

[345154/999999, x^2+3*x*y+y^2-20*x-20*y+79]

[3110/9009, x^2+14*x*y-11*y^2-40*x+20*y+39]

[10462/30303, x^2+8*x*y+y^2-37*x-43*y+162]

[1037/3003, x^2-13/2*x*y+4*y^2+27/2*x-9/2*y-35/2]

[16444/47619, x^2+4*x*y-2*y^2-21*x+38]

[115118/333333, x^2+x*y+y^2-12*x-12*y+47]

[345430/999999, x^2-4*x*y+y^2+8*x+8*y-33]

[345431/999999, x^2-3*x*y+y^2+4*x+4*y-17]

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[42904/111111, x^2-4/3*x*y-2/5*y^2-3*x+48/5*y-96/5]

[386168/999999, x^2+26+y^2-9*x-9*y]

[14303/37037, x^2+10/7*x*y+5/2*y^2-108/7*x-405/14*y+521/7]

[386228/999999, x^2+1/2*x*y+3*y^2-9*x-31*y+62]

[128756/333333, x^2+1/2*x*y+y^2-13*x-13*y+58]

[18398/47619, x^2+6/5*x*y+3/2*y^2-88/5*x-231/10*y+519/5]

[42929/111111, x^2-4/3*x*y-2/5*y^2-3*x+48/5*y-96/5]

[386368/999999, x^2+x*y+y^2-17*x-17*y+90]

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[3904/10101, x^2+22/3*x*y+y^2-61*x-51*y+342]

[2045/5291, x^2-4*x*y-1/2*y^2+14*x+43/2*y-95]

[387/1001, x^2-10/3*x*y-5/2*y^2+6*x+75/2*y-87]

[268/693, x^2+49/19*x*y+67/19*y^2-435/19*x-915/19*y+2990/19]

[386768/999999, x^2+3*x*y+y^2-33*x-33*y+218]

[18418/47619, x^2+3*x*y+1/2*y^2-34*x-57/2*y+217]

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[386831/999999, x^2+26+y^2-9*x-9*y]

[128944/333333, x^2+1/5*x*y+y^2-53/5*x-53/5*y+194/5]

[55262/142857, x^2+3/5*x*y+y^2-69/5*x-69/5*y+322/5]

[3485/9009, x^2+4/5*x*y+y^2-77/5*x-77/5*y+386/5]

[386836/999999, x^2+x*y+y^2-17*x-17*y+90]

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[386839/999999, x^2+8/5*x*y+y^2-109/5*x-109/5*y+642/5]

[166/429, x^2+61/54*x*y+4/9*y^2-169/9*x-109/9*y+266/3]

[386968/999999, x^2+4*x*y+y^2-41*x-41*y+282]

[129026/333333, x^2-2*x*y+y^2+6*x+6*y-91]

[35198/90909, x^2-x*y+y^2-2*x-2*y-27]

[129079/333333, x^2-1/2*x*y-1/5*y^2-15/2*x+9/2*y+23/10]

[387278/999999, x^2+37+y^2-10*x-10*y]

[18442/47619, x^2+5/3*x*y+5*y^2-55/3*x-175/3*y+458/3]

[9932/25641, x^2+8/5*x*y+4*y^2-99/5*x-264/5*y+892/5]

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[415/1001, x^2-6*x*y+y^2+18*x+18*y-83]

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[138239/333333, x^2+x*y+y^2-12*x-12*y+39]

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[40/91, x^2-91/3*x*y-51/4*y^2+255/2*x+1005/4*y-801]

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[23/39, x^2-x*y+y^2-6*x-6*y+29]

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[25/39, x^2-x*y+y^2-3*x-3*y+2]

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[214208/333333, x^2+x*y+y^2-12*x-12*y+44]

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[19477/30303, x^2+22/3*x*y+y^2-127/3*x-97/3*y+466/3]

[19480/30303, x^2+8*x*y+y^2-46*x-34*y+168]

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[91862/142857, x^2-5*x*y+y^2+11*x+11*y-42]

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[457/693, x^2+241/64*x*y+1/16*y^2-1845/64*x-1245/64*y+7661/64]

[659495/999999, x^2+3/2*x*y+y^2-45/2*x-45/2*y+283/2]

[59960/90909, x^2+10*x*y+y^2-65*x-65*y+354]

[94223/142857, x^2+9*x*y+y^2-60*x-60*y+329]

[5942/9009, x^2+8*x*y+y^2-55*x-55*y+304]

[659563/999999, x^2+7*x*y+y^2-50*x-50*y+279]

[659564/999999, x^2+6*x*y+y^2-45*x-45*y+254]

[659567/999999, x^2+3*x*y+y^2-30*x-30*y+179]

[659569/999999, x^2+x*y+y^2-20*x-20*y+129]

[31409/47619, x^2+1/2*x*y+1/3*y^2-35/2*x-49/6*y+173/2]

[219875/333333, x^2-6*x*y-3/4*y^2+22*x+165/4*y-351/2]

[2221/3367, x^2+29/3*x*y+y^2-74*x-66*y+423]

[283/429, x^2+73/3*x*y+9*y^2-158*x-254*y+1227]

[659695/999999, x^2+x*y+y^2-20*x-20*y+129]

[659795/999999, x^2+3/4*x*y+y^2-75/4*x-75/4*y+491/4]

[31423/47619, x^2-6*x*y-5*y^2+31*x+103*y-432]

[5945/9009, x^2+1/2*x*y+y^2-35/2*x-35/2*y+233/2]

[5947/9009, x^2-12/5*x*y-6*y^2+7/5*x+252/5*y-222/5]

[5948/9009, x^2-3*x*y-3*y^2+4*x+36*y-60]

[661/1001, x^2-4*x*y-2*y^2+9*x+36*y-90]

[660502/999999, x^2+1/2*x*y+3*y^2-11*x-21*y+30]

[1985/3003, x^2-5/3*x*y+5*y^2-x-25*y]

[851/1287, x^2-5/2*x*y-5*y^2+2*x+50*y-78]

[662/1001, x^2-10/3*x*y-5/2*y^2+6*x+75/2*y-87]

[10499/15873, x^2-6*x*y-5*y^2+23*x+71*y-204]

[5959/9009, x^2-5*x*y-5/3*y^2+15*x+125/3*y-136]

[284/429, x^2-4/3*x*y+2*y^2-2*x-8*y]

[662050/999999, x^2+1/6*x*y+1/3*y^2-7*x-11/3*y+10]

[5965/9009, x^2-8/5*x*y+4*y^2-7/5*x-112/5*y+102/5]

[51/77, x^2-8/3*x*y-4*y^2+3*x+48*y-102]

[5968/9009, x^2-4*x*y-2*y^2+10*x+40*y-120]

[5969/9009, x^2-8*x*y-4/3*y^2+33*x+176/3*y-250]

[181/273, x^2-x*y+y^2-3*x-3*y]

[5974/9009, x^2-6/5*x*y+3/2*y^2-14/5*x-63/10*y+39/5]

[5975/9009, x^2-3/2*x*y+3*y^2-2*x-18*y+30]

[663235/999999, x^2-x*y+3/2*y^2-5*x-15/2*y+21]

[5977/9009, x^2-3*x*y-3*y^2+5*x+45*y-120]

[854/1287, x^2-6*x*y-3/2*y^2+22*x+99/2*y-195]

[1994/3003, x^2-2/3*x*y+1/2*y^2-4*x-y]

[5983/9009, x^2-4/5*x*y+2/3*y^2-21/5*x-28/15*y+26/5]

[544/819, x^2-x*y+y^2-4*x-4*y+12]

[95/143, x^2-4/3*x*y+2*y^2-3*x-12*y+30]

[5987/9009, x^2-4*x*y-2*y^2+11*x+44*y-150]

[5989/9009, x^2+4*x*y-2/3*y^2-39*x-52/3*y+182]

[1997/3003, x^2-1/3*x*y+1/5*y^2-5*x-1/5*y]

[856/1287, x^2-2/5*x*y+1/4*y^2-28/5*x-7/20*y+51/10]

[461/693, x^2-1/2*x*y+1/3*y^2-6*x-2/3*y+10]

[665323/999999, x^2-2/3*x*y+2/3*y^2-5*x-10/3*y+14]

[666/1001, x^2-2/3*x*y+1/2*y^2-6*x-3/2*y+15]

[545/819, x^2-x*y+y^2-5*x-5*y+24]

[221909/333333, x^2+6*x*y+2*y^2-49*x-58*y+318]

[5998/9009, x^2+2*x*y-1/2*y^2-26*x-13/2*y+105]

[857/1287, x^2+x*y-1/3*y^2-21*x-7/3*y+80]

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